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Finding the Third Proportional to 1,306,186 and 2,017,532

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Solution

The third proportional to 1,306,186 and 2,017,532 is: 3,116,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,186 : 2,017,532 = 2,017,532 : x
  2. Step 2: Convert to fraction form
    1,306,186/2,017,532 = 2,017,532/x
  3. Step 3: Cross multiply
    1,306,186x = 2,017,532 × 2,017,532
  4. Step 4: Simplify right side
    1,306,186x = 4,070,435,371,024
  5. Step 5: Solve for x
    x = 4,070,435,371,024/1,306,186
  6. Step 6: Final answer
    x = 3,116,275.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.