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Finding the Third Proportional to 873,099 and 1,312,897.50

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Solution

The third proportional to 873,099 and 1,312,897.50 is: 1,974,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,099 : 1,312,897.50 = 1,312,897.50 : x
  2. Step 2: Convert to fraction form
    873,099/1,312,897.50 = 1,312,897.50/x
  3. Step 3: Cross multiply
    873,099x = 1,312,897.50 × 1,312,897.50
  4. Step 4: Simplify right side
    873,099x = 1,723,699,845,506.25
  5. Step 5: Solve for x
    x = 1,723,699,845,506.25/873,099
  6. Step 6: Final answer
    x = 1,974,231.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.