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Finding the Third Proportional to 770,127 and 1,674,498

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Solution

The third proportional to 770,127 and 1,674,498 is: 3,640,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,127 : 1,674,498 = 1,674,498 : x
  2. Step 2: Convert to fraction form
    770,127/1,674,498 = 1,674,498/x
  3. Step 3: Cross multiply
    770,127x = 1,674,498 × 1,674,498
  4. Step 4: Simplify right side
    770,127x = 2,803,943,552,004
  5. Step 5: Solve for x
    x = 2,803,943,552,004/770,127
  6. Step 6: Final answer
    x = 3,640,884.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.