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Finding the Third Proportional to 767,946 and 1,706,340

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Solution

The third proportional to 767,946 and 1,706,340 is: 3,791,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,946 : 1,706,340 = 1,706,340 : x
  2. Step 2: Convert to fraction form
    767,946/1,706,340 = 1,706,340/x
  3. Step 3: Cross multiply
    767,946x = 1,706,340 × 1,706,340
  4. Step 4: Simplify right side
    767,946x = 2,911,596,195,600
  5. Step 5: Solve for x
    x = 2,911,596,195,600/767,946
  6. Step 6: Final answer
    x = 3,791,407.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.