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Finding the Third Proportional to 804,928 and 1,749,629

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Solution

The third proportional to 804,928 and 1,749,629 is: 3,803,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,928 : 1,749,629 = 1,749,629 : x
  2. Step 2: Convert to fraction form
    804,928/1,749,629 = 1,749,629/x
  3. Step 3: Cross multiply
    804,928x = 1,749,629 × 1,749,629
  4. Step 4: Simplify right side
    804,928x = 3,061,201,637,641
  5. Step 5: Solve for x
    x = 3,061,201,637,641/804,928
  6. Step 6: Final answer
    x = 3,803,075.10

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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.