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Finding the Third Proportional to 691,320 and 1,066,460

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Solution

The third proportional to 691,320 and 1,066,460 is: 1,645,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,320 : 1,066,460 = 1,066,460 : x
  2. Step 2: Convert to fraction form
    691,320/1,066,460 = 1,066,460/x
  3. Step 3: Cross multiply
    691,320x = 1,066,460 × 1,066,460
  4. Step 4: Simplify right side
    691,320x = 1,137,336,931,600
  5. Step 5: Solve for x
    x = 1,137,336,931,600/691,320
  6. Step 6: Final answer
    x = 1,645,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.