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Finding the Third Proportional to 461,040 and 1,006,140

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Solution

The third proportional to 461,040 and 1,006,140 is: 2,195,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,040 : 1,006,140 = 1,006,140 : x
  2. Step 2: Convert to fraction form
    461,040/1,006,140 = 1,006,140/x
  3. Step 3: Cross multiply
    461,040x = 1,006,140 × 1,006,140
  4. Step 4: Simplify right side
    461,040x = 1,012,317,699,600
  5. Step 5: Solve for x
    x = 1,012,317,699,600/461,040
  6. Step 6: Final answer
    x = 2,195,726.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.