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Finding the Third Proportional to 1,461,796 and 2,249,748

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Solution

The third proportional to 1,461,796 and 2,249,748 is: 3,462,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,796 : 2,249,748 = 2,249,748 : x
  2. Step 2: Convert to fraction form
    1,461,796/2,249,748 = 2,249,748/x
  3. Step 3: Cross multiply
    1,461,796x = 2,249,748 × 2,249,748
  4. Step 4: Simplify right side
    1,461,796x = 5,061,366,063,504
  5. Step 5: Solve for x
    x = 5,061,366,063,504/1,461,796
  6. Step 6: Final answer
    x = 3,462,429.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.