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Finding the Third Proportional to 487,986 and 1,038,180

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Solution

The third proportional to 487,986 and 1,038,180 is: 2,208,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,986 : 1,038,180 = 1,038,180 : x
  2. Step 2: Convert to fraction form
    487,986/1,038,180 = 1,038,180/x
  3. Step 3: Cross multiply
    487,986x = 1,038,180 × 1,038,180
  4. Step 4: Simplify right side
    487,986x = 1,077,817,712,400
  5. Step 5: Solve for x
    x = 1,077,817,712,400/487,986
  6. Step 6: Final answer
    x = 2,208,706.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.