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Finding the Third Proportional to 626,184 and 1,370,520

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Solution

The third proportional to 626,184 and 1,370,520 is: 2,999,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,184 : 1,370,520 = 1,370,520 : x
  2. Step 2: Convert to fraction form
    626,184/1,370,520 = 1,370,520/x
  3. Step 3: Cross multiply
    626,184x = 1,370,520 × 1,370,520
  4. Step 4: Simplify right side
    626,184x = 1,878,325,070,400
  5. Step 5: Solve for x
    x = 1,878,325,070,400/626,184
  6. Step 6: Final answer
    x = 2,999,637.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.