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Finding the Third Proportional to 884,498 and 1,402,810

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Solution

The third proportional to 884,498 and 1,402,810 is: 2,224,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,498 : 1,402,810 = 1,402,810 : x
  2. Step 2: Convert to fraction form
    884,498/1,402,810 = 1,402,810/x
  3. Step 3: Cross multiply
    884,498x = 1,402,810 × 1,402,810
  4. Step 4: Simplify right side
    884,498x = 1,967,875,896,100
  5. Step 5: Solve for x
    x = 1,967,875,896,100/884,498
  6. Step 6: Final answer
    x = 2,224,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.