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Finding the Third Proportional to 612,748.13 and 898,521.19

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Solution

The third proportional to 612,748.13 and 898,521.19 is: 1,317,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,748.13 : 898,521.19 = 898,521.19 : x
  2. Step 2: Convert to fraction form
    612,748.13/898,521.19 = 898,521.19/x
  3. Step 3: Cross multiply
    612,748.13x = 898,521.19 × 898,521.19
  4. Step 4: Simplify right side
    612,748.13x = 807,340,324,386.41
  5. Step 5: Solve for x
    x = 807,340,324,386.41/612,748.13
  6. Step 6: Final answer
    x = 1,317,572.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.