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Finding the Third Proportional to 651,348 and 1,414,084.50

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Solution

The third proportional to 651,348 and 1,414,084.50 is: 3,069,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,348 : 1,414,084.50 = 1,414,084.50 : x
  2. Step 2: Convert to fraction form
    651,348/1,414,084.50 = 1,414,084.50/x
  3. Step 3: Cross multiply
    651,348x = 1,414,084.50 × 1,414,084.50
  4. Step 4: Simplify right side
    651,348x = 1,999,634,973,140.25
  5. Step 5: Solve for x
    x = 1,999,634,973,140.25/651,348
  6. Step 6: Final answer
    x = 3,069,994.80

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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.