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Finding the Third Proportional to 423,171,988 and 653,624,015

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Solution

The third proportional to 423,171,988 and 653,624,015 is: 1,009,576,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,171,988 : 653,624,015 = 653,624,015 : x
  2. Step 2: Convert to fraction form
    423,171,988/653,624,015 = 653,624,015/x
  3. Step 3: Cross multiply
    423,171,988x = 653,624,015 × 653,624,015
  4. Step 4: Simplify right side
    423,171,988x = 427,224,352,984,720,256
  5. Step 5: Solve for x
    x = 427,224,352,984,720,256/423,171,988
  6. Step 6: Final answer
    x = 1,009,576,165.48

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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.