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Finding the Third Proportional to 2,810,607 and 4,208,206.50

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Solution

The third proportional to 2,810,607 and 4,208,206.50 is: 6,300,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,607 : 4,208,206.50 = 4,208,206.50 : x
  2. Step 2: Convert to fraction form
    2,810,607/4,208,206.50 = 4,208,206.50/x
  3. Step 3: Cross multiply
    2,810,607x = 4,208,206.50 × 4,208,206.50
  4. Step 4: Simplify right side
    2,810,607x = 17,709,001,946,642.25
  5. Step 5: Solve for x
    x = 17,709,001,946,642.25/2,810,607
  6. Step 6: Final answer
    x = 6,300,774.87

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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.