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Finding the Third Proportional to 910,924 and 1,361,361

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Solution

The third proportional to 910,924 and 1,361,361 is: 2,034,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,924 : 1,361,361 = 1,361,361 : x
  2. Step 2: Convert to fraction form
    910,924/1,361,361 = 1,361,361/x
  3. Step 3: Cross multiply
    910,924x = 1,361,361 × 1,361,361
  4. Step 4: Simplify right side
    910,924x = 1,853,303,772,321
  5. Step 5: Solve for x
    x = 1,853,303,772,321/910,924
  6. Step 6: Final answer
    x = 2,034,531.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.