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Finding the Third Proportional to 1,010,280 and 2,160,648

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Solution

The third proportional to 1,010,280 and 2,160,648 is: 4,620,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,280 : 2,160,648 = 2,160,648 : x
  2. Step 2: Convert to fraction form
    1,010,280/2,160,648 = 2,160,648/x
  3. Step 3: Cross multiply
    1,010,280x = 2,160,648 × 2,160,648
  4. Step 4: Simplify right side
    1,010,280x = 4,668,399,779,904
  5. Step 5: Solve for x
    x = 4,668,399,779,904/1,010,280
  6. Step 6: Final answer
    x = 4,620,896.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.