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Finding the Third Proportional to 1,650,510 and 3,615,948

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Solution

The third proportional to 1,650,510 and 3,615,948 is: 7,921,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,510 : 3,615,948 = 3,615,948 : x
  2. Step 2: Convert to fraction form
    1,650,510/3,615,948 = 3,615,948/x
  3. Step 3: Cross multiply
    1,650,510x = 3,615,948 × 3,615,948
  4. Step 4: Simplify right side
    1,650,510x = 13,075,079,938,704
  5. Step 5: Solve for x
    x = 13,075,079,938,704/1,650,510
  6. Step 6: Final answer
    x = 7,921,842.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.