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Finding the Third Proportional to 975,872 and 1,522,830

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Solution

The third proportional to 975,872 and 1,522,830 is: 2,376,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,872 : 1,522,830 = 1,522,830 : x
  2. Step 2: Convert to fraction form
    975,872/1,522,830 = 1,522,830/x
  3. Step 3: Cross multiply
    975,872x = 1,522,830 × 1,522,830
  4. Step 4: Simplify right side
    975,872x = 2,319,011,208,900
  5. Step 5: Solve for x
    x = 2,319,011,208,900/975,872
  6. Step 6: Final answer
    x = 2,376,347.73

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.