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Finding the Third Proportional to 1,654,133.48 and 3,583,069.80

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Solution

The third proportional to 1,654,133.48 and 3,583,069.80 is: 7,761,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,133.48 : 3,583,069.80 = 3,583,069.80 : x
  2. Step 2: Convert to fraction form
    1,654,133.48/3,583,069.80 = 3,583,069.80/x
  3. Step 3: Cross multiply
    1,654,133.48x = 3,583,069.80 × 3,583,069.80
  4. Step 4: Simplify right side
    1,654,133.48x = 12,838,389,225,263.32
  5. Step 5: Solve for x
    x = 12,838,389,225,263.32/1,654,133.48
  6. Step 6: Final answer
    x = 7,761,398.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.