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Finding the Third Proportional to 656,973 and 1,416,492

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Solution

The third proportional to 656,973 and 1,416,492 is: 3,054,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,973 : 1,416,492 = 1,416,492 : x
  2. Step 2: Convert to fraction form
    656,973/1,416,492 = 1,416,492/x
  3. Step 3: Cross multiply
    656,973x = 1,416,492 × 1,416,492
  4. Step 4: Simplify right side
    656,973x = 2,006,449,586,064
  5. Step 5: Solve for x
    x = 2,006,449,586,064/656,973
  6. Step 6: Final answer
    x = 3,054,082.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.