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Finding the Third Proportional to 630,624 and 1,401,216

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Solution

The third proportional to 630,624 and 1,401,216 is: 3,113,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,624 : 1,401,216 = 1,401,216 : x
  2. Step 2: Convert to fraction form
    630,624/1,401,216 = 1,401,216/x
  3. Step 3: Cross multiply
    630,624x = 1,401,216 × 1,401,216
  4. Step 4: Simplify right side
    630,624x = 1,963,406,278,656
  5. Step 5: Solve for x
    x = 1,963,406,278,656/630,624
  6. Step 6: Final answer
    x = 3,113,434.12

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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.