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Finding the Third Proportional to 2,141,140 and 3,152,558

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Solution

The third proportional to 2,141,140 and 3,152,558 is: 4,641,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,140 : 3,152,558 = 3,152,558 : x
  2. Step 2: Convert to fraction form
    2,141,140/3,152,558 = 3,152,558/x
  3. Step 3: Cross multiply
    2,141,140x = 3,152,558 × 3,152,558
  4. Step 4: Simplify right side
    2,141,140x = 9,938,621,943,364
  5. Step 5: Solve for x
    x = 9,938,621,943,364/2,141,140
  6. Step 6: Final answer
    x = 4,641,743.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.