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Finding the Third Proportional to 4,280,643 and 5,869,804.50

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Solution

The third proportional to 4,280,643 and 5,869,804.50 is: 8,048,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280,643 : 5,869,804.50 = 5,869,804.50 : x
  2. Step 2: Convert to fraction form
    4,280,643/5,869,804.50 = 5,869,804.50/x
  3. Step 3: Cross multiply
    4,280,643x = 5,869,804.50 × 5,869,804.50
  4. Step 4: Simplify right side
    4,280,643x = 34,454,604,868,220.25
  5. Step 5: Solve for x
    x = 34,454,604,868,220.25/4,280,643
  6. Step 6: Final answer
    x = 8,048,932.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.