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Finding the Third Proportional to 893,042 and 1,249,147

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Solution

The third proportional to 893,042 and 1,249,147 is: 1,747,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,042 : 1,249,147 = 1,249,147 : x
  2. Step 2: Convert to fraction form
    893,042/1,249,147 = 1,249,147/x
  3. Step 3: Cross multiply
    893,042x = 1,249,147 × 1,249,147
  4. Step 4: Simplify right side
    893,042x = 1,560,368,227,609
  5. Step 5: Solve for x
    x = 1,560,368,227,609/893,042
  6. Step 6: Final answer
    x = 1,747,250.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.