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Finding the Third Proportional to 712,254 and 1,101,379

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Solution

The third proportional to 712,254 and 1,101,379 is: 1,703,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,254 : 1,101,379 = 1,101,379 : x
  2. Step 2: Convert to fraction form
    712,254/1,101,379 = 1,101,379/x
  3. Step 3: Cross multiply
    712,254x = 1,101,379 × 1,101,379
  4. Step 4: Simplify right side
    712,254x = 1,213,035,701,641
  5. Step 5: Solve for x
    x = 1,213,035,701,641/712,254
  6. Step 6: Final answer
    x = 1,703,094.26

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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.