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Finding the Third Proportional to 1,326,510 and 2,842,256.25

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Solution

The third proportional to 1,326,510 and 2,842,256.25 is: 6,089,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,510 : 2,842,256.25 = 2,842,256.25 : x
  2. Step 2: Convert to fraction form
    1,326,510/2,842,256.25 = 2,842,256.25/x
  3. Step 3: Cross multiply
    1,326,510x = 2,842,256.25 × 2,842,256.25
  4. Step 4: Simplify right side
    1,326,510x = 8,078,420,590,664.06
  5. Step 5: Solve for x
    x = 8,078,420,590,664.06/1,326,510
  6. Step 6: Final answer
    x = 6,089,980.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.