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Finding the Third Proportional to 653,940 and 1,012,986

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Solution

The third proportional to 653,940 and 1,012,986 is: 1,569,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,940 : 1,012,986 = 1,012,986 : x
  2. Step 2: Convert to fraction form
    653,940/1,012,986 = 1,012,986/x
  3. Step 3: Cross multiply
    653,940x = 1,012,986 × 1,012,986
  4. Step 4: Simplify right side
    653,940x = 1,026,140,636,196
  5. Step 5: Solve for x
    x = 1,026,140,636,196/653,940
  6. Step 6: Final answer
    x = 1,569,166.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.