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Finding the Third Proportional to 678,490 and 921,457

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Solution

The third proportional to 678,490 and 921,457 is: 1,251,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,490 : 921,457 = 921,457 : x
  2. Step 2: Convert to fraction form
    678,490/921,457 = 921,457/x
  3. Step 3: Cross multiply
    678,490x = 921,457 × 921,457
  4. Step 4: Simplify right side
    678,490x = 849,083,002,849
  5. Step 5: Solve for x
    x = 849,083,002,849/678,490
  6. Step 6: Final answer
    x = 1,251,430.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.