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Finding the Third Proportional to 760,584 and 1,629,142

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Solution

The third proportional to 760,584 and 1,629,142 is: 3,489,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,584 : 1,629,142 = 1,629,142 : x
  2. Step 2: Convert to fraction form
    760,584/1,629,142 = 1,629,142/x
  3. Step 3: Cross multiply
    760,584x = 1,629,142 × 1,629,142
  4. Step 4: Simplify right side
    760,584x = 2,654,103,656,164
  5. Step 5: Solve for x
    x = 2,654,103,656,164/760,584
  6. Step 6: Final answer
    x = 3,489,560.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.