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Finding the Third Proportional to 935,494 and 1,411,701

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Solution

The third proportional to 935,494 and 1,411,701 is: 2,130,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,494 : 1,411,701 = 1,411,701 : x
  2. Step 2: Convert to fraction form
    935,494/1,411,701 = 1,411,701/x
  3. Step 3: Cross multiply
    935,494x = 1,411,701 × 1,411,701
  4. Step 4: Simplify right side
    935,494x = 1,992,899,713,401
  5. Step 5: Solve for x
    x = 1,992,899,713,401/935,494
  6. Step 6: Final answer
    x = 2,130,318.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.