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Finding the Third Proportional to 503,497,410 and 777,606,012

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Solution

The third proportional to 503,497,410 and 777,606,012 is: 1,200,941,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,497,410 : 777,606,012 = 777,606,012 : x
  2. Step 2: Convert to fraction form
    503,497,410/777,606,012 = 777,606,012/x
  3. Step 3: Cross multiply
    503,497,410x = 777,606,012 × 777,606,012
  4. Step 4: Simplify right side
    503,497,410x = 604,671,109,898,544,128
  5. Step 5: Solve for x
    x = 604,671,109,898,544,128/503,497,410
  6. Step 6: Final answer
    x = 1,200,941,847.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.