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Finding the Third Proportional to 788,806,826 and 1,230,963,143

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Solution

The third proportional to 788,806,826 and 1,230,963,143 is: 1,920,964,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,826 : 1,230,963,143 = 1,230,963,143 : x
  2. Step 2: Convert to fraction form
    788,806,826/1,230,963,143 = 1,230,963,143/x
  3. Step 3: Cross multiply
    788,806,826x = 1,230,963,143 × 1,230,963,143
  4. Step 4: Simplify right side
    788,806,826x = 1,515,270,259,424,438,528
  5. Step 5: Solve for x
    x = 1,515,270,259,424,438,528/788,806,826
  6. Step 6: Final answer
    x = 1,920,964,942.85

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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.