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Finding the Third Proportional to 808,685,971 and 1,155,633,328

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Solution

The third proportional to 808,685,971 and 1,155,633,328 is: 1,651,430,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,685,971 : 1,155,633,328 = 1,155,633,328 : x
  2. Step 2: Convert to fraction form
    808,685,971/1,155,633,328 = 1,155,633,328/x
  3. Step 3: Cross multiply
    808,685,971x = 1,155,633,328 × 1,155,633,328
  4. Step 4: Simplify right side
    808,685,971x = 1,335,488,388,784,355,584
  5. Step 5: Solve for x
    x = 1,335,488,388,784,355,584/808,685,971
  6. Step 6: Final answer
    x = 1,651,430,143.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.