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Finding the Third Proportional to 423,172,116 and 653,624,217

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Solution

The third proportional to 423,172,116 and 653,624,217 is: 1,009,576,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,172,116 : 653,624,217 = 653,624,217 : x
  2. Step 2: Convert to fraction form
    423,172,116/653,624,217 = 653,624,217/x
  3. Step 3: Cross multiply
    423,172,116x = 653,624,217 × 653,624,217
  4. Step 4: Simplify right side
    423,172,116x = 427,224,617,048,863,104
  5. Step 5: Solve for x
    x = 427,224,617,048,863,104/423,172,116
  6. Step 6: Final answer
    x = 1,009,576,484.12

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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.