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Finding the Third Proportional to 613,457 and 936,792

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Solution

The third proportional to 613,457 and 936,792 is: 1,430,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,457 : 936,792 = 936,792 : x
  2. Step 2: Convert to fraction form
    613,457/936,792 = 936,792/x
  3. Step 3: Cross multiply
    613,457x = 936,792 × 936,792
  4. Step 4: Simplify right side
    613,457x = 877,579,251,264
  5. Step 5: Solve for x
    x = 877,579,251,264/613,457
  6. Step 6: Final answer
    x = 1,430,547.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.