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Finding the Third Proportional to 615,968 and 921,441

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Solution

The third proportional to 615,968 and 921,441 is: 1,378,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,968 : 921,441 = 921,441 : x
  2. Step 2: Convert to fraction form
    615,968/921,441 = 921,441/x
  3. Step 3: Cross multiply
    615,968x = 921,441 × 921,441
  4. Step 4: Simplify right side
    615,968x = 849,053,516,481
  5. Step 5: Solve for x
    x = 849,053,516,481/615,968
  6. Step 6: Final answer
    x = 1,378,405.24

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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.