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Finding the Third Proportional to 1,497,123 and 2,301,210

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Solution

The third proportional to 1,497,123 and 2,301,210 is: 3,537,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,123 : 2,301,210 = 2,301,210 : x
  2. Step 2: Convert to fraction form
    1,497,123/2,301,210 = 2,301,210/x
  3. Step 3: Cross multiply
    1,497,123x = 2,301,210 × 2,301,210
  4. Step 4: Simplify right side
    1,497,123x = 5,295,567,464,100
  5. Step 5: Solve for x
    x = 5,295,567,464,100/1,497,123
  6. Step 6: Final answer
    x = 3,537,162.59

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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.