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Finding the Third Proportional to 1,045,308 and 1,472,071.50

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Solution

The third proportional to 1,045,308 and 1,472,071.50 is: 2,073,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,308 : 1,472,071.50 = 1,472,071.50 : x
  2. Step 2: Convert to fraction form
    1,045,308/1,472,071.50 = 1,472,071.50/x
  3. Step 3: Cross multiply
    1,045,308x = 1,472,071.50 × 1,472,071.50
  4. Step 4: Simplify right side
    1,045,308x = 2,166,994,501,112.25
  5. Step 5: Solve for x
    x = 2,166,994,501,112.25/1,045,308
  6. Step 6: Final answer
    x = 2,073,067.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.