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Finding the Third Proportional to 760,499 and 1,652,371

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Solution

The third proportional to 760,499 and 1,652,371 is: 3,590,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,499 : 1,652,371 = 1,652,371 : x
  2. Step 2: Convert to fraction form
    760,499/1,652,371 = 1,652,371/x
  3. Step 3: Cross multiply
    760,499x = 1,652,371 × 1,652,371
  4. Step 4: Simplify right side
    760,499x = 2,730,329,921,641
  5. Step 5: Solve for x
    x = 2,730,329,921,641/760,499
  6. Step 6: Final answer
    x = 3,590,182.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.