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Finding the Third Proportional to 790,924 and 1,706,264

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Solution

The third proportional to 790,924 and 1,706,264 is: 3,680,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,924 : 1,706,264 = 1,706,264 : x
  2. Step 2: Convert to fraction form
    790,924/1,706,264 = 1,706,264/x
  3. Step 3: Cross multiply
    790,924x = 1,706,264 × 1,706,264
  4. Step 4: Simplify right side
    790,924x = 2,911,336,837,696
  5. Step 5: Solve for x
    x = 2,911,336,837,696/790,924
  6. Step 6: Final answer
    x = 3,680,931.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.