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Finding the Third Proportional to 788,806,834 and 1,230,963,156

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Solution

The third proportional to 788,806,834 and 1,230,963,156 is: 1,920,964,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,834 : 1,230,963,156 = 1,230,963,156 : x
  2. Step 2: Convert to fraction form
    788,806,834/1,230,963,156 = 1,230,963,156/x
  3. Step 3: Cross multiply
    788,806,834x = 1,230,963,156 × 1,230,963,156
  4. Step 4: Simplify right side
    788,806,834x = 1,515,270,291,429,480,448
  5. Step 5: Solve for x
    x = 1,515,270,291,429,480,448/788,806,834
  6. Step 6: Final answer
    x = 1,920,964,963.94

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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.