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Finding the Third Proportional to 570,768 and 1,229,840

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Solution

The third proportional to 570,768 and 1,229,840 is: 2,649,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,768 : 1,229,840 = 1,229,840 : x
  2. Step 2: Convert to fraction form
    570,768/1,229,840 = 1,229,840/x
  3. Step 3: Cross multiply
    570,768x = 1,229,840 × 1,229,840
  4. Step 4: Simplify right side
    570,768x = 1,512,506,425,600
  5. Step 5: Solve for x
    x = 1,512,506,425,600/570,768
  6. Step 6: Final answer
    x = 2,649,949.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.