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Finding the Third Proportional to 783,163 and 1,710,128

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Solution

The third proportional to 783,163 and 1,710,128 is: 3,734,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,163 : 1,710,128 = 1,710,128 : x
  2. Step 2: Convert to fraction form
    783,163/1,710,128 = 1,710,128/x
  3. Step 3: Cross multiply
    783,163x = 1,710,128 × 1,710,128
  4. Step 4: Simplify right side
    783,163x = 2,924,537,776,384
  5. Step 5: Solve for x
    x = 2,924,537,776,384/783,163
  6. Step 6: Final answer
    x = 3,734,264.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.