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Finding the Third Proportional to 666,289 and 1,023,502

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Solution

The third proportional to 666,289 and 1,023,502 is: 1,572,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,289 : 1,023,502 = 1,023,502 : x
  2. Step 2: Convert to fraction form
    666,289/1,023,502 = 1,023,502/x
  3. Step 3: Cross multiply
    666,289x = 1,023,502 × 1,023,502
  4. Step 4: Simplify right side
    666,289x = 1,047,556,344,004
  5. Step 5: Solve for x
    x = 1,047,556,344,004/666,289
  6. Step 6: Final answer
    x = 1,572,225.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.