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Finding the Third Proportional to 487,696,256 and 742,977,912

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Solution

The third proportional to 487,696,256 and 742,977,912 is: 1,131,885,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,696,256 : 742,977,912 = 742,977,912 : x
  2. Step 2: Convert to fraction form
    487,696,256/742,977,912 = 742,977,912/x
  3. Step 3: Cross multiply
    487,696,256x = 742,977,912 × 742,977,912
  4. Step 4: Simplify right side
    487,696,256x = 552,016,177,719,879,744
  5. Step 5: Solve for x
    x = 552,016,177,719,879,744/487,696,256
  6. Step 6: Final answer
    x = 1,131,885,207.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.