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Finding the Third Proportional to 616,574 and 967,457

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Solution

The third proportional to 616,574 and 967,457 is: 1,518,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,574 : 967,457 = 967,457 : x
  2. Step 2: Convert to fraction form
    616,574/967,457 = 967,457/x
  3. Step 3: Cross multiply
    616,574x = 967,457 × 967,457
  4. Step 4: Simplify right side
    616,574x = 935,973,046,849
  5. Step 5: Solve for x
    x = 935,973,046,849/616,574
  6. Step 6: Final answer
    x = 1,518,022.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.