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Finding the Third Proportional to 714,000 and 1,031,688

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Solution

The third proportional to 714,000 and 1,031,688 is: 1,490,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,000 : 1,031,688 = 1,031,688 : x
  2. Step 2: Convert to fraction form
    714,000/1,031,688 = 1,031,688/x
  3. Step 3: Cross multiply
    714,000x = 1,031,688 × 1,031,688
  4. Step 4: Simplify right side
    714,000x = 1,064,380,129,344
  5. Step 5: Solve for x
    x = 1,064,380,129,344/714,000
  6. Step 6: Final answer
    x = 1,490,728.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.