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Finding the Third Proportional to 468,843,807 and 1,021,003,566

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Solution

The third proportional to 468,843,807 and 1,021,003,566 is: 2,223,444,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,843,807 : 1,021,003,566 = 1,021,003,566 : x
  2. Step 2: Convert to fraction form
    468,843,807/1,021,003,566 = 1,021,003,566/x
  3. Step 3: Cross multiply
    468,843,807x = 1,021,003,566 × 1,021,003,566
  4. Step 4: Simplify right side
    468,843,807x = 1,042,448,281,784,716,416
  5. Step 5: Solve for x
    x = 1,042,448,281,784,716,416/468,843,807
  6. Step 6: Final answer
    x = 2,223,444,708.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.