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Finding the Third Proportional to 867,547.13 and 1,296,217.13

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Solution

The third proportional to 867,547.13 and 1,296,217.13 is: 1,936,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,547.13 : 1,296,217.13 = 1,296,217.13 : x
  2. Step 2: Convert to fraction form
    867,547.13/1,296,217.13 = 1,296,217.13/x
  3. Step 3: Cross multiply
    867,547.13x = 1,296,217.13 × 1,296,217.13
  4. Step 4: Simplify right side
    867,547.13x = 1,680,178,835,143.27
  5. Step 5: Solve for x
    x = 1,680,178,835,143.27/867,547.13
  6. Step 6: Final answer
    x = 1,936,700.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.