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Finding the Third Proportional to 616,035 and 921,546

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Solution

The third proportional to 616,035 and 921,546 is: 1,378,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,035 : 921,546 = 921,546 : x
  2. Step 2: Convert to fraction form
    616,035/921,546 = 921,546/x
  3. Step 3: Cross multiply
    616,035x = 921,546 × 921,546
  4. Step 4: Simplify right side
    616,035x = 849,247,030,116
  5. Step 5: Solve for x
    x = 849,247,030,116/616,035
  6. Step 6: Final answer
    x = 1,378,569.45

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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.