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Finding the Third Proportional to 665,031 and 1,031,853

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Solution

The third proportional to 665,031 and 1,031,853 is: 1,601,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,031 : 1,031,853 = 1,031,853 : x
  2. Step 2: Convert to fraction form
    665,031/1,031,853 = 1,031,853/x
  3. Step 3: Cross multiply
    665,031x = 1,031,853 × 1,031,853
  4. Step 4: Simplify right side
    665,031x = 1,064,720,613,609
  5. Step 5: Solve for x
    x = 1,064,720,613,609/665,031
  6. Step 6: Final answer
    x = 1,601,009.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.