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Finding the Third Proportional to 1,098,225 and 2,249,970

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Solution

The third proportional to 1,098,225 and 2,249,970 is: 4,609,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,225 : 2,249,970 = 2,249,970 : x
  2. Step 2: Convert to fraction form
    1,098,225/2,249,970 = 2,249,970/x
  3. Step 3: Cross multiply
    1,098,225x = 2,249,970 × 2,249,970
  4. Step 4: Simplify right side
    1,098,225x = 5,062,365,000,900
  5. Step 5: Solve for x
    x = 5,062,365,000,900/1,098,225
  6. Step 6: Final answer
    x = 4,609,588.20

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.