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Finding the Third Proportional to 738,952 and 1,113,713

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Solution

The third proportional to 738,952 and 1,113,713 is: 1,678,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,952 : 1,113,713 = 1,113,713 : x
  2. Step 2: Convert to fraction form
    738,952/1,113,713 = 1,113,713/x
  3. Step 3: Cross multiply
    738,952x = 1,113,713 × 1,113,713
  4. Step 4: Simplify right side
    738,952x = 1,240,356,646,369
  5. Step 5: Solve for x
    x = 1,240,356,646,369/738,952
  6. Step 6: Final answer
    x = 1,678,534.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.