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Finding the Third Proportional to 582,898,346 and 833,551,036

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Solution

The third proportional to 582,898,346 and 833,551,036 is: 1,191,987,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,898,346 : 833,551,036 = 833,551,036 : x
  2. Step 2: Convert to fraction form
    582,898,346/833,551,036 = 833,551,036/x
  3. Step 3: Cross multiply
    582,898,346x = 833,551,036 × 833,551,036
  4. Step 4: Simplify right side
    582,898,346x = 694,807,329,616,673,280
  5. Step 5: Solve for x
    x = 694,807,329,616,673,280/582,898,346
  6. Step 6: Final answer
    x = 1,191,987,135.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.