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Finding the Third Proportional to 401,868,044 and 867,980,824

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Solution

The third proportional to 401,868,044 and 867,980,824 is: 1,874,721,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,868,044 : 867,980,824 = 867,980,824 : x
  2. Step 2: Convert to fraction form
    401,868,044/867,980,824 = 867,980,824/x
  3. Step 3: Cross multiply
    401,868,044x = 867,980,824 × 867,980,824
  4. Step 4: Simplify right side
    401,868,044x = 753,390,710,831,718,912
  5. Step 5: Solve for x
    x = 753,390,710,831,718,912/401,868,044
  6. Step 6: Final answer
    x = 1,874,721,620.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.