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Finding the Third Proportional to 646,656 and 1,409,124

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Solution

The third proportional to 646,656 and 1,409,124 is: 3,070,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,656 : 1,409,124 = 1,409,124 : x
  2. Step 2: Convert to fraction form
    646,656/1,409,124 = 1,409,124/x
  3. Step 3: Cross multiply
    646,656x = 1,409,124 × 1,409,124
  4. Step 4: Simplify right side
    646,656x = 1,985,630,447,376
  5. Step 5: Solve for x
    x = 1,985,630,447,376/646,656
  6. Step 6: Final answer
    x = 3,070,613.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.