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Finding the Third Proportional to 1,656,643.50 and 2,430,411

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Solution

The third proportional to 1,656,643.50 and 2,430,411 is: 3,565,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,643.50 : 2,430,411 = 2,430,411 : x
  2. Step 2: Convert to fraction form
    1,656,643.50/2,430,411 = 2,430,411/x
  3. Step 3: Cross multiply
    1,656,643.50x = 2,430,411 × 2,430,411
  4. Step 4: Simplify right side
    1,656,643.50x = 5,906,897,628,921
  5. Step 5: Solve for x
    x = 5,906,897,628,921/1,656,643.50
  6. Step 6: Final answer
    x = 3,565,581.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.