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Finding the Third Proportional to 1,645,140 and 2,241,222

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Solution

The third proportional to 1,645,140 and 2,241,222 is: 3,053,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,140 : 2,241,222 = 2,241,222 : x
  2. Step 2: Convert to fraction form
    1,645,140/2,241,222 = 2,241,222/x
  3. Step 3: Cross multiply
    1,645,140x = 2,241,222 × 2,241,222
  4. Step 4: Simplify right side
    1,645,140x = 5,023,076,053,284
  5. Step 5: Solve for x
    x = 5,023,076,053,284/1,645,140
  6. Step 6: Final answer
    x = 3,053,281.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.