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Finding the Third Proportional to 711,202 and 1,098,232

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Solution

The third proportional to 711,202 and 1,098,232 is: 1,695,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,202 : 1,098,232 = 1,098,232 : x
  2. Step 2: Convert to fraction form
    711,202/1,098,232 = 1,098,232/x
  3. Step 3: Cross multiply
    711,202x = 1,098,232 × 1,098,232
  4. Step 4: Simplify right side
    711,202x = 1,206,113,525,824
  5. Step 5: Solve for x
    x = 1,206,113,525,824/711,202
  6. Step 6: Final answer
    x = 1,695,880.39

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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.