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Finding the Third Proportional to 495,684 and 787,814

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Solution

The third proportional to 495,684 and 787,814 is: 1,252,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,684 : 787,814 = 787,814 : x
  2. Step 2: Convert to fraction form
    495,684/787,814 = 787,814/x
  3. Step 3: Cross multiply
    495,684x = 787,814 × 787,814
  4. Step 4: Simplify right side
    495,684x = 620,650,898,596
  5. Step 5: Solve for x
    x = 620,650,898,596/495,684
  6. Step 6: Final answer
    x = 1,252,110.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.