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Finding the Third Proportional to 1,223,748 and 2,650,848

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Solution

The third proportional to 1,223,748 and 2,650,848 is: 5,742,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,748 : 2,650,848 = 2,650,848 : x
  2. Step 2: Convert to fraction form
    1,223,748/2,650,848 = 2,650,848/x
  3. Step 3: Cross multiply
    1,223,748x = 2,650,848 × 2,650,848
  4. Step 4: Simplify right side
    1,223,748x = 7,026,995,119,104
  5. Step 5: Solve for x
    x = 7,026,995,119,104/1,223,748
  6. Step 6: Final answer
    x = 5,742,191.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.