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Finding the Third Proportional to 564,610,703 and 1,223,020,741

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Solution

The third proportional to 564,610,703 and 1,223,020,741 is: 2,649,223,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,610,703 : 1,223,020,741 = 1,223,020,741 : x
  2. Step 2: Convert to fraction form
    564,610,703/1,223,020,741 = 1,223,020,741/x
  3. Step 3: Cross multiply
    564,610,703x = 1,223,020,741 × 1,223,020,741
  4. Step 4: Simplify right side
    564,610,703x = 1,495,779,732,916,189,184
  5. Step 5: Solve for x
    x = 1,495,779,732,916,189,184/564,610,703
  6. Step 6: Final answer
    x = 2,649,223,128.38

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