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Finding the Third Proportional to 864,282 and 1,308,347

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Solution

The third proportional to 864,282 and 1,308,347 is: 1,980,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,282 : 1,308,347 = 1,308,347 : x
  2. Step 2: Convert to fraction form
    864,282/1,308,347 = 1,308,347/x
  3. Step 3: Cross multiply
    864,282x = 1,308,347 × 1,308,347
  4. Step 4: Simplify right side
    864,282x = 1,711,771,872,409
  5. Step 5: Solve for x
    x = 1,711,771,872,409/864,282
  6. Step 6: Final answer
    x = 1,980,571.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.