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Finding the Third Proportional to 430,598 and 1,005,751

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Solution

The third proportional to 430,598 and 1,005,751 is: 2,349,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,598 : 1,005,751 = 1,005,751 : x
  2. Step 2: Convert to fraction form
    430,598/1,005,751 = 1,005,751/x
  3. Step 3: Cross multiply
    430,598x = 1,005,751 × 1,005,751
  4. Step 4: Simplify right side
    430,598x = 1,011,535,074,001
  5. Step 5: Solve for x
    x = 1,011,535,074,001/430,598
  6. Step 6: Final answer
    x = 2,349,140.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.