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Finding the Third Proportional to 437,426,520 and 615,295,224

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Solution

The third proportional to 437,426,520 and 615,295,224 is: 865,489,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,426,520 : 615,295,224 = 615,295,224 : x
  2. Step 2: Convert to fraction form
    437,426,520/615,295,224 = 615,295,224/x
  3. Step 3: Cross multiply
    437,426,520x = 615,295,224 × 615,295,224
  4. Step 4: Simplify right side
    437,426,520x = 378,588,212,677,210,176
  5. Step 5: Solve for x
    x = 378,588,212,677,210,176/437,426,520
  6. Step 6: Final answer
    x = 865,489,848.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.