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Finding the Third Proportional to 788,806,838 and 1,230,963,162

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Solution

The third proportional to 788,806,838 and 1,230,963,162 is: 1,920,964,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,838 : 1,230,963,162 = 1,230,963,162 : x
  2. Step 2: Convert to fraction form
    788,806,838/1,230,963,162 = 1,230,963,162/x
  3. Step 3: Cross multiply
    788,806,838x = 1,230,963,162 × 1,230,963,162
  4. Step 4: Simplify right side
    788,806,838x = 1,515,270,306,201,038,336
  5. Step 5: Solve for x
    x = 1,515,270,306,201,038,336/788,806,838
  6. Step 6: Final answer
    x = 1,920,964,972.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.