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Finding the Third Proportional to 1,012,612 and 1,569,970

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Solution

The third proportional to 1,012,612 and 1,569,970 is: 2,434,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,612 : 1,569,970 = 1,569,970 : x
  2. Step 2: Convert to fraction form
    1,012,612/1,569,970 = 1,569,970/x
  3. Step 3: Cross multiply
    1,012,612x = 1,569,970 × 1,569,970
  4. Step 4: Simplify right side
    1,012,612x = 2,464,805,800,900
  5. Step 5: Solve for x
    x = 2,464,805,800,900/1,012,612
  6. Step 6: Final answer
    x = 2,434,106.85

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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.