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Finding the Third Proportional to 1,248,547.50 and 1,869,402.38

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Solution

The third proportional to 1,248,547.50 and 1,869,402.38 is: 2,798,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,547.50 : 1,869,402.38 = 1,869,402.38 : x
  2. Step 2: Convert to fraction form
    1,248,547.50/1,869,402.38 = 1,869,402.38/x
  3. Step 3: Cross multiply
    1,248,547.50x = 1,869,402.38 × 1,869,402.38
  4. Step 4: Simplify right side
    1,248,547.50x = 3,494,665,239,655.64
  5. Step 5: Solve for x
    x = 3,494,665,239,655.64/1,248,547.50
  6. Step 6: Final answer
    x = 2,798,984.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.