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Finding the Third Proportional to 564,610,701 and 1,223,020,737

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Solution

The third proportional to 564,610,701 and 1,223,020,737 is: 2,649,223,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,610,701 : 1,223,020,737 = 1,223,020,737 : x
  2. Step 2: Convert to fraction form
    564,610,701/1,223,020,737 = 1,223,020,737/x
  3. Step 3: Cross multiply
    564,610,701x = 1,223,020,737 × 1,223,020,737
  4. Step 4: Simplify right side
    564,610,701x = 1,495,779,723,132,023,296
  5. Step 5: Solve for x
    x = 1,495,779,723,132,023,296/564,610,701
  6. Step 6: Final answer
    x = 2,649,223,120.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.