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Finding the Third Proportional to 1,038,654 and 1,643,260.50

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Solution

The third proportional to 1,038,654 and 1,643,260.50 is: 2,599,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,654 : 1,643,260.50 = 1,643,260.50 : x
  2. Step 2: Convert to fraction form
    1,038,654/1,643,260.50 = 1,643,260.50/x
  3. Step 3: Cross multiply
    1,038,654x = 1,643,260.50 × 1,643,260.50
  4. Step 4: Simplify right side
    1,038,654x = 2,700,305,070,860.25
  5. Step 5: Solve for x
    x = 2,700,305,070,860.25/1,038,654
  6. Step 6: Final answer
    x = 2,599,811.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.