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Finding the Third Proportional to 616,036 and 921,547

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Solution

The third proportional to 616,036 and 921,547 is: 1,378,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,036 : 921,547 = 921,547 : x
  2. Step 2: Convert to fraction form
    616,036/921,547 = 921,547/x
  3. Step 3: Cross multiply
    616,036x = 921,547 × 921,547
  4. Step 4: Simplify right side
    616,036x = 849,248,873,209
  5. Step 5: Solve for x
    x = 849,248,873,209/616,036
  6. Step 6: Final answer
    x = 1,378,570.20

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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.