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Finding the Third Proportional to 1,977,744 and 4,235,424

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Solution

The third proportional to 1,977,744 and 4,235,424 is: 9,070,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,744 : 4,235,424 = 4,235,424 : x
  2. Step 2: Convert to fraction form
    1,977,744/4,235,424 = 4,235,424/x
  3. Step 3: Cross multiply
    1,977,744x = 4,235,424 × 4,235,424
  4. Step 4: Simplify right side
    1,977,744x = 17,938,816,459,776
  5. Step 5: Solve for x
    x = 17,938,816,459,776/1,977,744
  6. Step 6: Final answer
    x = 9,070,343.01

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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.