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Finding the Third Proportional to 783,292 and 1,715,840

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Solution

The third proportional to 783,292 and 1,715,840 is: 3,758,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,292 : 1,715,840 = 1,715,840 : x
  2. Step 2: Convert to fraction form
    783,292/1,715,840 = 1,715,840/x
  3. Step 3: Cross multiply
    783,292x = 1,715,840 × 1,715,840
  4. Step 4: Simplify right side
    783,292x = 2,944,106,905,600
  5. Step 5: Solve for x
    x = 2,944,106,905,600/783,292
  6. Step 6: Final answer
    x = 3,758,632.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.