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Finding the Third Proportional to 714,771 and 1,111,365

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Solution

The third proportional to 714,771 and 1,111,365 is: 1,728,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,771 : 1,111,365 = 1,111,365 : x
  2. Step 2: Convert to fraction form
    714,771/1,111,365 = 1,111,365/x
  3. Step 3: Cross multiply
    714,771x = 1,111,365 × 1,111,365
  4. Step 4: Simplify right side
    714,771x = 1,235,132,163,225
  5. Step 5: Solve for x
    x = 1,235,132,163,225/714,771
  6. Step 6: Final answer
    x = 1,728,011.02

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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.