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Finding the Third Proportional to 556,074 and 1,214,130

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Solution

The third proportional to 556,074 and 1,214,130 is: 2,650,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,074 : 1,214,130 = 1,214,130 : x
  2. Step 2: Convert to fraction form
    556,074/1,214,130 = 1,214,130/x
  3. Step 3: Cross multiply
    556,074x = 1,214,130 × 1,214,130
  4. Step 4: Simplify right side
    556,074x = 1,474,111,656,900
  5. Step 5: Solve for x
    x = 1,474,111,656,900/556,074
  6. Step 6: Final answer
    x = 2,650,927.14

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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.