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Finding the Third Proportional to 758,306 and 1,755,509

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Solution

The third proportional to 758,306 and 1,755,509 is: 4,064,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,306 : 1,755,509 = 1,755,509 : x
  2. Step 2: Convert to fraction form
    758,306/1,755,509 = 1,755,509/x
  3. Step 3: Cross multiply
    758,306x = 1,755,509 × 1,755,509
  4. Step 4: Simplify right side
    758,306x = 3,081,811,849,081
  5. Step 5: Solve for x
    x = 3,081,811,849,081/758,306
  6. Step 6: Final answer
    x = 4,064,074.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.