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Finding the Third Proportional to 411,708,123 and 904,037,814

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Solution

The third proportional to 411,708,123 and 904,037,814 is: 1,985,106,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,708,123 : 904,037,814 = 904,037,814 : x
  2. Step 2: Convert to fraction form
    411,708,123/904,037,814 = 904,037,814/x
  3. Step 3: Cross multiply
    411,708,123x = 904,037,814 × 904,037,814
  4. Step 4: Simplify right side
    411,708,123x = 817,284,369,141,898,624
  5. Step 5: Solve for x
    x = 817,284,369,141,898,624/411,708,123
  6. Step 6: Final answer
    x = 1,985,106,252.43

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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.