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Finding the Third Proportional to 657,306 and 1,345,764

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Solution

The third proportional to 657,306 and 1,345,764 is: 2,755,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,306 : 1,345,764 = 1,345,764 : x
  2. Step 2: Convert to fraction form
    657,306/1,345,764 = 1,345,764/x
  3. Step 3: Cross multiply
    657,306x = 1,345,764 × 1,345,764
  4. Step 4: Simplify right side
    657,306x = 1,811,080,743,696
  5. Step 5: Solve for x
    x = 1,811,080,743,696/657,306
  6. Step 6: Final answer
    x = 2,755,308.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.