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Finding the Third Proportional to 3,246,628.50 and 5,140,678.50

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Solution

The third proportional to 3,246,628.50 and 5,140,678.50 is: 8,139,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,628.50 : 5,140,678.50 = 5,140,678.50 : x
  2. Step 2: Convert to fraction form
    3,246,628.50/5,140,678.50 = 5,140,678.50/x
  3. Step 3: Cross multiply
    3,246,628.50x = 5,140,678.50 × 5,140,678.50
  4. Step 4: Simplify right side
    3,246,628.50x = 26,426,575,440,362.25
  5. Step 5: Solve for x
    x = 26,426,575,440,362.25/3,246,628.50
  6. Step 6: Final answer
    x = 8,139,697.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.