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Finding the Third Proportional to 783,140 and 1,130,630

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Solution

The third proportional to 783,140 and 1,130,630 is: 1,632,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,140 : 1,130,630 = 1,130,630 : x
  2. Step 2: Convert to fraction form
    783,140/1,130,630 = 1,130,630/x
  3. Step 3: Cross multiply
    783,140x = 1,130,630 × 1,130,630
  4. Step 4: Simplify right side
    783,140x = 1,278,324,196,900
  5. Step 5: Solve for x
    x = 1,278,324,196,900/783,140
  6. Step 6: Final answer
    x = 1,632,306.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.