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Finding the Third Proportional to 935,988 and 1,507,344

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Solution

The third proportional to 935,988 and 1,507,344 is: 2,427,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,988 : 1,507,344 = 1,507,344 : x
  2. Step 2: Convert to fraction form
    935,988/1,507,344 = 1,507,344/x
  3. Step 3: Cross multiply
    935,988x = 1,507,344 × 1,507,344
  4. Step 4: Simplify right side
    935,988x = 2,272,085,934,336
  5. Step 5: Solve for x
    x = 2,272,085,934,336/935,988
  6. Step 6: Final answer
    x = 2,427,473.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.