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Finding the Third Proportional to 2,842,296 and 6,089,776

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Solution

The third proportional to 2,842,296 and 6,089,776 is: 13,047,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,296 : 6,089,776 = 6,089,776 : x
  2. Step 2: Convert to fraction form
    2,842,296/6,089,776 = 6,089,776/x
  3. Step 3: Cross multiply
    2,842,296x = 6,089,776 × 6,089,776
  4. Step 4: Simplify right side
    2,842,296x = 37,085,371,730,176
  5. Step 5: Solve for x
    x = 37,085,371,730,176/2,842,296
  6. Step 6: Final answer
    x = 13,047,681.08

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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.