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Finding the Third Proportional to 4,528,469 and 6,851,132

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Solution

The third proportional to 4,528,469 and 6,851,132 is: 10,365,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528,469 : 6,851,132 = 6,851,132 : x
  2. Step 2: Convert to fraction form
    4,528,469/6,851,132 = 6,851,132/x
  3. Step 3: Cross multiply
    4,528,469x = 6,851,132 × 6,851,132
  4. Step 4: Simplify right side
    4,528,469x = 46,938,009,681,424
  5. Step 5: Solve for x
    x = 46,938,009,681,424/4,528,469
  6. Step 6: Final answer
    x = 10,365,094.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.