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Finding the Third Proportional to 822,141,816 and 1,119,807,492

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Solution

The third proportional to 822,141,816 and 1,119,807,492 is: 1,525,246,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,141,816 : 1,119,807,492 = 1,119,807,492 : x
  2. Step 2: Convert to fraction form
    822,141,816/1,119,807,492 = 1,119,807,492/x
  3. Step 3: Cross multiply
    822,141,816x = 1,119,807,492 × 1,119,807,492
  4. Step 4: Simplify right side
    822,141,816x = 1,253,968,819,139,330,048
  5. Step 5: Solve for x
    x = 1,253,968,819,139,330,048/822,141,816
  6. Step 6: Final answer
    x = 1,525,246,368.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.