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Finding the Third Proportional to 755,655 and 1,596,592.50

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Solution

The third proportional to 755,655 and 1,596,592.50 is: 3,373,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,655 : 1,596,592.50 = 1,596,592.50 : x
  2. Step 2: Convert to fraction form
    755,655/1,596,592.50 = 1,596,592.50/x
  3. Step 3: Cross multiply
    755,655x = 1,596,592.50 × 1,596,592.50
  4. Step 4: Simplify right side
    755,655x = 2,549,107,611,056.25
  5. Step 5: Solve for x
    x = 2,549,107,611,056.25/755,655
  6. Step 6: Final answer
    x = 3,373,374.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.