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Finding the Third Proportional to 697,416 and 1,077,669

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Solution

The third proportional to 697,416 and 1,077,669 is: 1,665,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,416 : 1,077,669 = 1,077,669 : x
  2. Step 2: Convert to fraction form
    697,416/1,077,669 = 1,077,669/x
  3. Step 3: Cross multiply
    697,416x = 1,077,669 × 1,077,669
  4. Step 4: Simplify right side
    697,416x = 1,161,370,473,561
  5. Step 5: Solve for x
    x = 1,161,370,473,561/697,416
  6. Step 6: Final answer
    x = 1,665,247.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.