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Finding the Third Proportional to 788,806,840 and 1,230,963,165

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Solution

The third proportional to 788,806,840 and 1,230,963,165 is: 1,920,964,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,840 : 1,230,963,165 = 1,230,963,165 : x
  2. Step 2: Convert to fraction form
    788,806,840/1,230,963,165 = 1,230,963,165/x
  3. Step 3: Cross multiply
    788,806,840x = 1,230,963,165 × 1,230,963,165
  4. Step 4: Simplify right side
    788,806,840x = 1,515,270,313,586,817,280
  5. Step 5: Solve for x
    x = 1,515,270,313,586,817,280/788,806,840
  6. Step 6: Final answer
    x = 1,920,964,977.42

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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.