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Finding the Third Proportional to 442,797 and 917,101.50

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Solution

The third proportional to 442,797 and 917,101.50 is: 1,899,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,797 : 917,101.50 = 917,101.50 : x
  2. Step 2: Convert to fraction form
    442,797/917,101.50 = 917,101.50/x
  3. Step 3: Cross multiply
    442,797x = 917,101.50 × 917,101.50
  4. Step 4: Simplify right side
    442,797x = 841,075,161,302.25
  5. Step 5: Solve for x
    x = 841,075,161,302.25/442,797
  6. Step 6: Final answer
    x = 1,899,459.94

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.