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Finding the Third Proportional to 691,312 and 1,066,448

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Solution

The third proportional to 691,312 and 1,066,448 is: 1,645,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,312 : 1,066,448 = 1,066,448 : x
  2. Step 2: Convert to fraction form
    691,312/1,066,448 = 1,066,448/x
  3. Step 3: Cross multiply
    691,312x = 1,066,448 × 1,066,448
  4. Step 4: Simplify right side
    691,312x = 1,137,311,336,704
  5. Step 5: Solve for x
    x = 1,137,311,336,704/691,312
  6. Step 6: Final answer
    x = 1,645,149.13

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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.