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Finding the Third Proportional to 755,312 and 1,643,432

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Solution

The third proportional to 755,312 and 1,643,432 is: 3,575,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,312 : 1,643,432 = 1,643,432 : x
  2. Step 2: Convert to fraction form
    755,312/1,643,432 = 1,643,432/x
  3. Step 3: Cross multiply
    755,312x = 1,643,432 × 1,643,432
  4. Step 4: Simplify right side
    755,312x = 2,700,868,738,624
  5. Step 5: Solve for x
    x = 2,700,868,738,624/755,312
  6. Step 6: Final answer
    x = 3,575,831.89

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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.