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Finding the Third Proportional to 532,862 and 1,141,300

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Solution

The third proportional to 532,862 and 1,141,300 is: 2,444,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,862 : 1,141,300 = 1,141,300 : x
  2. Step 2: Convert to fraction form
    532,862/1,141,300 = 1,141,300/x
  3. Step 3: Cross multiply
    532,862x = 1,141,300 × 1,141,300
  4. Step 4: Simplify right side
    532,862x = 1,302,565,690,000
  5. Step 5: Solve for x
    x = 1,302,565,690,000/532,862
  6. Step 6: Final answer
    x = 2,444,470.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.