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Finding the Third Proportional to 1,766,475 and 3,881,319

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Solution

The third proportional to 1,766,475 and 3,881,319 is: 8,528,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,475 : 3,881,319 = 3,881,319 : x
  2. Step 2: Convert to fraction form
    1,766,475/3,881,319 = 3,881,319/x
  3. Step 3: Cross multiply
    1,766,475x = 3,881,319 × 3,881,319
  4. Step 4: Simplify right side
    1,766,475x = 15,064,637,179,761
  5. Step 5: Solve for x
    x = 15,064,637,179,761/1,766,475
  6. Step 6: Final answer
    x = 8,528,078.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.