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Finding the Third Proportional to 696,114 and 1,107,664

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Solution

The third proportional to 696,114 and 1,107,664 is: 1,762,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,114 : 1,107,664 = 1,107,664 : x
  2. Step 2: Convert to fraction form
    696,114/1,107,664 = 1,107,664/x
  3. Step 3: Cross multiply
    696,114x = 1,107,664 × 1,107,664
  4. Step 4: Simplify right side
    696,114x = 1,226,919,536,896
  5. Step 5: Solve for x
    x = 1,226,919,536,896/696,114
  6. Step 6: Final answer
    x = 1,762,526.74

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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.