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Finding the Third Proportional to 578,506,824 and 881,295,373.69

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Solution

The third proportional to 578,506,824 and 881,295,373.69 is: 1,342,562,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506,824 : 881,295,373.69 = 881,295,373.69 : x
  2. Step 2: Convert to fraction form
    578,506,824/881,295,373.69 = 881,295,373.69/x
  3. Step 3: Cross multiply
    578,506,824x = 881,295,373.69 × 881,295,373.69
  4. Step 4: Simplify right side
    578,506,824x = 776,681,535,682,990,208
  5. Step 5: Solve for x
    x = 776,681,535,682,990,208/578,506,824
  6. Step 6: Final answer
    x = 1,342,562,444.32

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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.