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Finding the Third Proportional to 850,365 and 1,316,625

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Solution

The third proportional to 850,365 and 1,316,625 is: 2,038,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,365 : 1,316,625 = 1,316,625 : x
  2. Step 2: Convert to fraction form
    850,365/1,316,625 = 1,316,625/x
  3. Step 3: Cross multiply
    850,365x = 1,316,625 × 1,316,625
  4. Step 4: Simplify right side
    850,365x = 1,733,501,390,625
  5. Step 5: Solve for x
    x = 1,733,501,390,625/850,365
  6. Step 6: Final answer
    x = 2,038,538.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.