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Finding the Third Proportional to 501,868,728 and 1,087,114,648

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Solution

The third proportional to 501,868,728 and 1,087,114,648 is: 2,354,835,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,868,728 : 1,087,114,648 = 1,087,114,648 : x
  2. Step 2: Convert to fraction form
    501,868,728/1,087,114,648 = 1,087,114,648/x
  3. Step 3: Cross multiply
    501,868,728x = 1,087,114,648 × 1,087,114,648
  4. Step 4: Simplify right side
    501,868,728x = 1,181,818,257,896,163,840
  5. Step 5: Solve for x
    x = 1,181,818,257,896,163,840/501,868,728
  6. Step 6: Final answer
    x = 2,354,835,422.02

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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.