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Finding the Third Proportional to 429,700 and 935,864

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Solution

The third proportional to 429,700 and 935,864 is: 2,038,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,700 : 935,864 = 935,864 : x
  2. Step 2: Convert to fraction form
    429,700/935,864 = 935,864/x
  3. Step 3: Cross multiply
    429,700x = 935,864 × 935,864
  4. Step 4: Simplify right side
    429,700x = 875,841,426,496
  5. Step 5: Solve for x
    x = 875,841,426,496/429,700
  6. Step 6: Final answer
    x = 2,038,262.57

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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.