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Finding the Third Proportional to 590,452 and 916,784

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Solution

The third proportional to 590,452 and 916,784 is: 1,423,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,452 : 916,784 = 916,784 : x
  2. Step 2: Convert to fraction form
    590,452/916,784 = 916,784/x
  3. Step 3: Cross multiply
    590,452x = 916,784 × 916,784
  4. Step 4: Simplify right side
    590,452x = 840,492,902,656
  5. Step 5: Solve for x
    x = 840,492,902,656/590,452
  6. Step 6: Final answer
    x = 1,423,473.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.