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Finding the Third Proportional to 788,806,752 and 1,230,963,072

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Solution

The third proportional to 788,806,752 and 1,230,963,072 is: 1,920,964,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,752 : 1,230,963,072 = 1,230,963,072 : x
  2. Step 2: Convert to fraction form
    788,806,752/1,230,963,072 = 1,230,963,072/x
  3. Step 3: Cross multiply
    788,806,752x = 1,230,963,072 × 1,230,963,072
  4. Step 4: Simplify right side
    788,806,752x = 1,515,270,084,627,677,184
  5. Step 5: Solve for x
    x = 1,515,270,084,627,677,184/788,806,752
  6. Step 6: Final answer
    x = 1,920,964,901.46

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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.