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Finding the Third Proportional to 772,893.56 and 1,136,246.06

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Solution

The third proportional to 772,893.56 and 1,136,246.06 is: 1,670,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,893.56 : 1,136,246.06 = 1,136,246.06 : x
  2. Step 2: Convert to fraction form
    772,893.56/1,136,246.06 = 1,136,246.06/x
  3. Step 3: Cross multiply
    772,893.56x = 1,136,246.06 × 1,136,246.06
  4. Step 4: Simplify right side
    772,893.56x = 1,291,055,114,546.75
  5. Step 5: Solve for x
    x = 1,291,055,114,546.75/772,893.56
  6. Step 6: Final answer
    x = 1,670,417.74

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Why These Related Problems?

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