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Finding the Third Proportional to 645,094.13 and 1,024,665.19

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Solution

The third proportional to 645,094.13 and 1,024,665.19 is: 1,627,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,094.13 : 1,024,665.19 = 1,024,665.19 : x
  2. Step 2: Convert to fraction form
    645,094.13/1,024,665.19 = 1,024,665.19/x
  3. Step 3: Cross multiply
    645,094.13x = 1,024,665.19 × 1,024,665.19
  4. Step 4: Simplify right side
    645,094.13x = 1,049,938,746,474.41
  5. Step 5: Solve for x
    x = 1,049,938,746,474.41/645,094.13
  6. Step 6: Final answer
    x = 1,627,574.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.