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Finding the Third Proportional to 841,205 and 1,271,841

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Solution

The third proportional to 841,205 and 1,271,841 is: 1,922,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,205 : 1,271,841 = 1,271,841 : x
  2. Step 2: Convert to fraction form
    841,205/1,271,841 = 1,271,841/x
  3. Step 3: Cross multiply
    841,205x = 1,271,841 × 1,271,841
  4. Step 4: Simplify right side
    841,205x = 1,617,579,529,281
  5. Step 5: Solve for x
    x = 1,617,579,529,281/841,205
  6. Step 6: Final answer
    x = 1,922,931.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.