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Finding the Third Proportional to 671,492 and 1,041,278

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Solution

The third proportional to 671,492 and 1,041,278 is: 1,614,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,492 : 1,041,278 = 1,041,278 : x
  2. Step 2: Convert to fraction form
    671,492/1,041,278 = 1,041,278/x
  3. Step 3: Cross multiply
    671,492x = 1,041,278 × 1,041,278
  4. Step 4: Simplify right side
    671,492x = 1,084,259,873,284
  5. Step 5: Solve for x
    x = 1,084,259,873,284/671,492
  6. Step 6: Final answer
    x = 1,614,702.59

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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.