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Finding the Third Proportional to 666,901.13 and 1,403,492.63

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Solution

The third proportional to 666,901.13 and 1,403,492.63 is: 2,953,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,901.13 : 1,403,492.63 = 1,403,492.63 : x
  2. Step 2: Convert to fraction form
    666,901.13/1,403,492.63 = 1,403,492.63/x
  3. Step 3: Cross multiply
    666,901.13x = 1,403,492.63 × 1,403,492.63
  4. Step 4: Simplify right side
    666,901.13x = 1,969,791,548,429.39
  5. Step 5: Solve for x
    x = 1,969,791,548,429.39/666,901.13
  6. Step 6: Final answer
    x = 2,953,648.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.