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Finding the Third Proportional to 429,988 and 934,604

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Solution

The third proportional to 429,988 and 934,604 is: 2,031,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,988 : 934,604 = 934,604 : x
  2. Step 2: Convert to fraction form
    429,988/934,604 = 934,604/x
  3. Step 3: Cross multiply
    429,988x = 934,604 × 934,604
  4. Step 4: Simplify right side
    429,988x = 873,484,636,816
  5. Step 5: Solve for x
    x = 873,484,636,816/429,988
  6. Step 6: Final answer
    x = 2,031,416.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.