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Finding the Third Proportional to 745,053 and 1,658,751

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Solution

The third proportional to 745,053 and 1,658,751 is: 3,692,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,053 : 1,658,751 = 1,658,751 : x
  2. Step 2: Convert to fraction form
    745,053/1,658,751 = 1,658,751/x
  3. Step 3: Cross multiply
    745,053x = 1,658,751 × 1,658,751
  4. Step 4: Simplify right side
    745,053x = 2,751,454,880,001
  5. Step 5: Solve for x
    x = 2,751,454,880,001/745,053
  6. Step 6: Final answer
    x = 3,692,965.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.