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Finding the Third Proportional to 771,084 and 1,660,320

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Solution

The third proportional to 771,084 and 1,660,320 is: 3,575,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,084 : 1,660,320 = 1,660,320 : x
  2. Step 2: Convert to fraction form
    771,084/1,660,320 = 1,660,320/x
  3. Step 3: Cross multiply
    771,084x = 1,660,320 × 1,660,320
  4. Step 4: Simplify right side
    771,084x = 2,756,662,502,400
  5. Step 5: Solve for x
    x = 2,756,662,502,400/771,084
  6. Step 6: Final answer
    x = 3,575,048.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.