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Finding the Third Proportional to 616,034 and 921,544

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Solution

The third proportional to 616,034 and 921,544 is: 1,378,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,034 : 921,544 = 921,544 : x
  2. Step 2: Convert to fraction form
    616,034/921,544 = 921,544/x
  3. Step 3: Cross multiply
    616,034x = 921,544 × 921,544
  4. Step 4: Simplify right side
    616,034x = 849,243,343,936
  5. Step 5: Solve for x
    x = 849,243,343,936/616,034
  6. Step 6: Final answer
    x = 1,378,565.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.