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Finding the Third Proportional to 973,441 and 1,500,193.50

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Solution

The third proportional to 973,441 and 1,500,193.50 is: 2,311,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,441 : 1,500,193.50 = 1,500,193.50 : x
  2. Step 2: Convert to fraction form
    973,441/1,500,193.50 = 1,500,193.50/x
  3. Step 3: Cross multiply
    973,441x = 1,500,193.50 × 1,500,193.50
  4. Step 4: Simplify right side
    973,441x = 2,250,580,537,442.25
  5. Step 5: Solve for x
    x = 2,250,580,537,442.25/973,441
  6. Step 6: Final answer
    x = 2,311,984.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.