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Finding the Third Proportional to 913,581 and 1,340,509

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Solution

The third proportional to 913,581 and 1,340,509 is: 1,966,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,581 : 1,340,509 = 1,340,509 : x
  2. Step 2: Convert to fraction form
    913,581/1,340,509 = 1,340,509/x
  3. Step 3: Cross multiply
    913,581x = 1,340,509 × 1,340,509
  4. Step 4: Simplify right side
    913,581x = 1,796,964,379,081
  5. Step 5: Solve for x
    x = 1,796,964,379,081/913,581
  6. Step 6: Final answer
    x = 1,966,945.87

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Why These Related Problems?

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