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Finding the Third Proportional to 578,506,845 and 881,295,406

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Solution

The third proportional to 578,506,845 and 881,295,406 is: 1,342,562,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506,845 : 881,295,406 = 881,295,406 : x
  2. Step 2: Convert to fraction form
    578,506,845/881,295,406 = 881,295,406/x
  3. Step 3: Cross multiply
    578,506,845x = 881,295,406 × 881,295,406
  4. Step 4: Simplify right side
    578,506,845x = 776,681,592,636,704,896
  5. Step 5: Solve for x
    x = 776,681,592,636,704,896/578,506,845
  6. Step 6: Final answer
    x = 1,342,562,494.03

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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.