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Finding the Third Proportional to 532,818 and 1,141,446

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Solution

The third proportional to 532,818 and 1,141,446 is: 2,445,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,818 : 1,141,446 = 1,141,446 : x
  2. Step 2: Convert to fraction form
    532,818/1,141,446 = 1,141,446/x
  3. Step 3: Cross multiply
    532,818x = 1,141,446 × 1,141,446
  4. Step 4: Simplify right side
    532,818x = 1,302,898,970,916
  5. Step 5: Solve for x
    x = 1,302,898,970,916/532,818
  6. Step 6: Final answer
    x = 2,445,298.34

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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.