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Finding the Third Proportional to 788,806,824 and 1,230,963,140

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Solution

The third proportional to 788,806,824 and 1,230,963,140 is: 1,920,964,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,824 : 1,230,963,140 = 1,230,963,140 : x
  2. Step 2: Convert to fraction form
    788,806,824/1,230,963,140 = 1,230,963,140/x
  3. Step 3: Cross multiply
    788,806,824x = 1,230,963,140 × 1,230,963,140
  4. Step 4: Simplify right side
    788,806,824x = 1,515,270,252,038,659,584
  5. Step 5: Solve for x
    x = 1,515,270,252,038,659,584/788,806,824
  6. Step 6: Final answer
    x = 1,920,964,938.35

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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.