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Finding the Third Proportional to 680,772 and 1,130,664

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Solution

The third proportional to 680,772 and 1,130,664 is: 1,877,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,772 : 1,130,664 = 1,130,664 : x
  2. Step 2: Convert to fraction form
    680,772/1,130,664 = 1,130,664/x
  3. Step 3: Cross multiply
    680,772x = 1,130,664 × 1,130,664
  4. Step 4: Simplify right side
    680,772x = 1,278,401,080,896
  5. Step 5: Solve for x
    x = 1,278,401,080,896/680,772
  6. Step 6: Final answer
    x = 1,877,869.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.