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Finding the Third Proportional to 2,464,130 and 3,686,169

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Solution

The third proportional to 2,464,130 and 3,686,169 is: 5,514,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,130 : 3,686,169 = 3,686,169 : x
  2. Step 2: Convert to fraction form
    2,464,130/3,686,169 = 3,686,169/x
  3. Step 3: Cross multiply
    2,464,130x = 3,686,169 × 3,686,169
  4. Step 4: Simplify right side
    2,464,130x = 13,587,841,896,561
  5. Step 5: Solve for x
    x = 13,587,841,896,561/2,464,130
  6. Step 6: Final answer
    x = 5,514,255.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.