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Finding the Third Proportional to 1,523,666 and 3,249,830

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Solution

The third proportional to 1,523,666 and 3,249,830 is: 6,931,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,666 : 3,249,830 = 3,249,830 : x
  2. Step 2: Convert to fraction form
    1,523,666/3,249,830 = 3,249,830/x
  3. Step 3: Cross multiply
    1,523,666x = 3,249,830 × 3,249,830
  4. Step 4: Simplify right side
    1,523,666x = 10,561,395,028,900
  5. Step 5: Solve for x
    x = 10,561,395,028,900/1,523,666
  6. Step 6: Final answer
    x = 6,931,568.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.