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Finding the Third Proportional to 254,662,434 and 545,628,951

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Solution

The third proportional to 254,662,434 and 545,628,951 is: 1,169,041,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662,434 : 545,628,951 = 545,628,951 : x
  2. Step 2: Convert to fraction form
    254,662,434/545,628,951 = 545,628,951/x
  3. Step 3: Cross multiply
    254,662,434x = 545,628,951 × 545,628,951
  4. Step 4: Simplify right side
    254,662,434x = 297,710,952,169,360,384
  5. Step 5: Solve for x
    x = 297,710,952,169,360,384/254,662,434
  6. Step 6: Final answer
    x = 1,169,041,493.45

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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.