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Finding the Third Proportional to 424,044 and 921,708

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Solution

The third proportional to 424,044 and 921,708 is: 2,003,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,044 : 921,708 = 921,708 : x
  2. Step 2: Convert to fraction form
    424,044/921,708 = 921,708/x
  3. Step 3: Cross multiply
    424,044x = 921,708 × 921,708
  4. Step 4: Simplify right side
    424,044x = 849,545,637,264
  5. Step 5: Solve for x
    x = 849,545,637,264/424,044
  6. Step 6: Final answer
    x = 2,003,437.47

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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.