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Finding the Third Proportional to 755,290 and 1,643,389

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Solution

The third proportional to 755,290 and 1,643,389 is: 3,575,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,290 : 1,643,389 = 1,643,389 : x
  2. Step 2: Convert to fraction form
    755,290/1,643,389 = 1,643,389/x
  3. Step 3: Cross multiply
    755,290x = 1,643,389 × 1,643,389
  4. Step 4: Simplify right side
    755,290x = 2,700,727,405,321
  5. Step 5: Solve for x
    x = 2,700,727,405,321/755,290
  6. Step 6: Final answer
    x = 3,575,748.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.