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Finding the Third Proportional to 501,870,824 and 1,087,118,728

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Solution

The third proportional to 501,870,824 and 1,087,118,728 is: 2,354,843,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,870,824 : 1,087,118,728 = 1,087,118,728 : x
  2. Step 2: Convert to fraction form
    501,870,824/1,087,118,728 = 1,087,118,728/x
  3. Step 3: Cross multiply
    501,870,824x = 1,087,118,728 × 1,087,118,728
  4. Step 4: Simplify right side
    501,870,824x = 1,181,827,128,768,337,920
  5. Step 5: Solve for x
    x = 1,181,827,128,768,337,920/501,870,824
  6. Step 6: Final answer
    x = 2,354,843,262.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.