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Finding the Third Proportional to 830,571 and 1,776,309

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Solution

The third proportional to 830,571 and 1,776,309 is: 3,798,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,571 : 1,776,309 = 1,776,309 : x
  2. Step 2: Convert to fraction form
    830,571/1,776,309 = 1,776,309/x
  3. Step 3: Cross multiply
    830,571x = 1,776,309 × 1,776,309
  4. Step 4: Simplify right side
    830,571x = 3,155,273,663,481
  5. Step 5: Solve for x
    x = 3,155,273,663,481/830,571
  6. Step 6: Final answer
    x = 3,798,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.