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Finding the Third Proportional to 762,411 and 1,118,147

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Solution

The third proportional to 762,411 and 1,118,147 is: 1,639,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,411 : 1,118,147 = 1,118,147 : x
  2. Step 2: Convert to fraction form
    762,411/1,118,147 = 1,118,147/x
  3. Step 3: Cross multiply
    762,411x = 1,118,147 × 1,118,147
  4. Step 4: Simplify right side
    762,411x = 1,250,252,713,609
  5. Step 5: Solve for x
    x = 1,250,252,713,609/762,411
  6. Step 6: Final answer
    x = 1,639,867.10

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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.