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Finding the Third Proportional to 497,767 and 1,170,056

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Solution

The third proportional to 497,767 and 1,170,056 is: 2,750,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,767 : 1,170,056 = 1,170,056 : x
  2. Step 2: Convert to fraction form
    497,767/1,170,056 = 1,170,056/x
  3. Step 3: Cross multiply
    497,767x = 1,170,056 × 1,170,056
  4. Step 4: Simplify right side
    497,767x = 1,369,031,043,136
  5. Step 5: Solve for x
    x = 1,369,031,043,136/497,767
  6. Step 6: Final answer
    x = 2,750,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.