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Finding the Third Proportional to 645,887.50 and 1,390,486.50

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Solution

The third proportional to 645,887.50 and 1,390,486.50 is: 2,993,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,887.50 : 1,390,486.50 = 1,390,486.50 : x
  2. Step 2: Convert to fraction form
    645,887.50/1,390,486.50 = 1,390,486.50/x
  3. Step 3: Cross multiply
    645,887.50x = 1,390,486.50 × 1,390,486.50
  4. Step 4: Simplify right side
    645,887.50x = 1,933,452,706,682.25
  5. Step 5: Solve for x
    x = 1,933,452,706,682.25/645,887.50
  6. Step 6: Final answer
    x = 2,993,482.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.