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Finding the Third Proportional to 1,547,614.69 and 2,064,039.19

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Solution

The third proportional to 1,547,614.69 and 2,064,039.19 is: 2,752,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,614.69 : 2,064,039.19 = 2,064,039.19 : x
  2. Step 2: Convert to fraction form
    1,547,614.69/2,064,039.19 = 2,064,039.19/x
  3. Step 3: Cross multiply
    1,547,614.69x = 2,064,039.19 × 2,064,039.19
  4. Step 4: Simplify right side
    1,547,614.69x = 4,260,257,767,535.66
  5. Step 5: Solve for x
    x = 4,260,257,767,535.66/1,547,614.69
  6. Step 6: Final answer
    x = 2,752,789.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.