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Finding the Third Proportional to 1,525,412.25 and 2,069,361

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Solution

The third proportional to 1,525,412.25 and 2,069,361 is: 2,807,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,412.25 : 2,069,361 = 2,069,361 : x
  2. Step 2: Convert to fraction form
    1,525,412.25/2,069,361 = 2,069,361/x
  3. Step 3: Cross multiply
    1,525,412.25x = 2,069,361 × 2,069,361
  4. Step 4: Simplify right side
    1,525,412.25x = 4,282,254,948,321
  5. Step 5: Solve for x
    x = 4,282,254,948,321/1,525,412.25
  6. Step 6: Final answer
    x = 2,807,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.