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Finding the Third Proportional to 506,752 and 1,070,720

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Solution

The third proportional to 506,752 and 1,070,720 is: 2,262,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,752 : 1,070,720 = 1,070,720 : x
  2. Step 2: Convert to fraction form
    506,752/1,070,720 = 1,070,720/x
  3. Step 3: Cross multiply
    506,752x = 1,070,720 × 1,070,720
  4. Step 4: Simplify right side
    506,752x = 1,146,441,318,400
  5. Step 5: Solve for x
    x = 1,146,441,318,400/506,752
  6. Step 6: Final answer
    x = 2,262,332.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.