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Finding the Third Proportional to 616,819 and 1,427,847.50

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Solution

The third proportional to 616,819 and 1,427,847.50 is: 3,305,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,819 : 1,427,847.50 = 1,427,847.50 : x
  2. Step 2: Convert to fraction form
    616,819/1,427,847.50 = 1,427,847.50/x
  3. Step 3: Cross multiply
    616,819x = 1,427,847.50 × 1,427,847.50
  4. Step 4: Simplify right side
    616,819x = 2,038,748,483,256.25
  5. Step 5: Solve for x
    x = 2,038,748,483,256.25/616,819
  6. Step 6: Final answer
    x = 3,305,262.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.