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Finding the Third Proportional to 930,925.13 and 1,423,463.63

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Solution

The third proportional to 930,925.13 and 1,423,463.63 is: 2,176,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,925.13 : 1,423,463.63 = 1,423,463.63 : x
  2. Step 2: Convert to fraction form
    930,925.13/1,423,463.63 = 1,423,463.63/x
  3. Step 3: Cross multiply
    930,925.13x = 1,423,463.63 × 1,423,463.63
  4. Step 4: Simplify right side
    930,925.13x = 2,026,248,691,698.14
  5. Step 5: Solve for x
    x = 2,026,248,691,698.14/930,925.13
  6. Step 6: Final answer
    x = 2,176,596.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.