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Finding the Third Proportional to 763,158 and 1,657,428

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Solution

The third proportional to 763,158 and 1,657,428 is: 3,599,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,158 : 1,657,428 = 1,657,428 : x
  2. Step 2: Convert to fraction form
    763,158/1,657,428 = 1,657,428/x
  3. Step 3: Cross multiply
    763,158x = 1,657,428 × 1,657,428
  4. Step 4: Simplify right side
    763,158x = 2,747,067,575,184
  5. Step 5: Solve for x
    x = 2,747,067,575,184/763,158
  6. Step 6: Final answer
    x = 3,599,605.29

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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.