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Finding the Third Proportional to 578,506,843.88 and 881,295,404.63

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Solution

The third proportional to 578,506,843.88 and 881,295,404.63 is: 1,342,562,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506,843.88 : 881,295,404.63 = 881,295,404.63 : x
  2. Step 2: Convert to fraction form
    578,506,843.88/881,295,404.63 = 881,295,404.63/x
  3. Step 3: Cross multiply
    578,506,843.88x = 881,295,404.63 × 881,295,404.63
  4. Step 4: Simplify right side
    578,506,843.88x = 776,681,590,213,142,528
  5. Step 5: Solve for x
    x = 776,681,590,213,142,528/578,506,843.88
  6. Step 6: Final answer
    x = 1,342,562,492.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.