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Finding the Third Proportional to 1,540,136 and 2,370,348

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Solution

The third proportional to 1,540,136 and 2,370,348 is: 3,648,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,136 : 2,370,348 = 2,370,348 : x
  2. Step 2: Convert to fraction form
    1,540,136/2,370,348 = 2,370,348/x
  3. Step 3: Cross multiply
    1,540,136x = 2,370,348 × 2,370,348
  4. Step 4: Simplify right side
    1,540,136x = 5,618,549,641,104
  5. Step 5: Solve for x
    x = 5,618,549,641,104/1,540,136
  6. Step 6: Final answer
    x = 3,648,086.69

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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.