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Finding the Third Proportional to 916,670,391 and 1,453,896,144

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Solution

The third proportional to 916,670,391 and 1,453,896,144 is: 2,305,969,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,670,391 : 1,453,896,144 = 1,453,896,144 : x
  2. Step 2: Convert to fraction form
    916,670,391/1,453,896,144 = 1,453,896,144/x
  3. Step 3: Cross multiply
    916,670,391x = 1,453,896,144 × 1,453,896,144
  4. Step 4: Simplify right side
    916,670,391x = 2,113,813,997,538,068,736
  5. Step 5: Solve for x
    x = 2,113,813,997,538,068,736/916,670,391
  6. Step 6: Final answer
    x = 2,305,969,537.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.