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Finding the Third Proportional to 693,528 and 1,088,214

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Solution

The third proportional to 693,528 and 1,088,214 is: 1,707,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,528 : 1,088,214 = 1,088,214 : x
  2. Step 2: Convert to fraction form
    693,528/1,088,214 = 1,088,214/x
  3. Step 3: Cross multiply
    693,528x = 1,088,214 × 1,088,214
  4. Step 4: Simplify right side
    693,528x = 1,184,209,709,796
  5. Step 5: Solve for x
    x = 1,184,209,709,796/693,528
  6. Step 6: Final answer
    x = 1,707,515.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.