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Finding the Third Proportional to 666,700 and 1,059,102

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Solution

The third proportional to 666,700 and 1,059,102 is: 1,682,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,700 : 1,059,102 = 1,059,102 : x
  2. Step 2: Convert to fraction form
    666,700/1,059,102 = 1,059,102/x
  3. Step 3: Cross multiply
    666,700x = 1,059,102 × 1,059,102
  4. Step 4: Simplify right side
    666,700x = 1,121,697,046,404
  5. Step 5: Solve for x
    x = 1,121,697,046,404/666,700
  6. Step 6: Final answer
    x = 1,682,461.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.