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Finding the Third Proportional to 291,817,146 and 455,392,794

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Solution

The third proportional to 291,817,146 and 455,392,794 is: 710,659,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,817,146 : 455,392,794 = 455,392,794 : x
  2. Step 2: Convert to fraction form
    291,817,146/455,392,794 = 455,392,794/x
  3. Step 3: Cross multiply
    291,817,146x = 455,392,794 × 455,392,794
  4. Step 4: Simplify right side
    291,817,146x = 207,382,596,827,126,432
  5. Step 5: Solve for x
    x = 207,382,596,827,126,432/291,817,146
  6. Step 6: Final answer
    x = 710,659,396.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.