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Finding the Third Proportional to 254,662,438 and 545,628,960

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Solution

The third proportional to 254,662,438 and 545,628,960 is: 1,169,041,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662,438 : 545,628,960 = 545,628,960 : x
  2. Step 2: Convert to fraction form
    254,662,438/545,628,960 = 545,628,960/x
  3. Step 3: Cross multiply
    254,662,438x = 545,628,960 × 545,628,960
  4. Step 4: Simplify right side
    254,662,438x = 297,710,961,990,681,600
  5. Step 5: Solve for x
    x = 297,710,961,990,681,600/254,662,438
  6. Step 6: Final answer
    x = 1,169,041,513.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.