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Finding the Third Proportional to 1,497,132 and 2,301,222

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Solution

The third proportional to 1,497,132 and 2,301,222 is: 3,537,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,132 : 2,301,222 = 2,301,222 : x
  2. Step 2: Convert to fraction form
    1,497,132/2,301,222 = 2,301,222/x
  3. Step 3: Cross multiply
    1,497,132x = 2,301,222 × 2,301,222
  4. Step 4: Simplify right side
    1,497,132x = 5,295,622,693,284
  5. Step 5: Solve for x
    x = 5,295,622,693,284/1,497,132
  6. Step 6: Final answer
    x = 3,537,178.21

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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.