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Finding the Third Proportional to 798,056 and 1,167,312

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Solution

The third proportional to 798,056 and 1,167,312 is: 1,707,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,056 : 1,167,312 = 1,167,312 : x
  2. Step 2: Convert to fraction form
    798,056/1,167,312 = 1,167,312/x
  3. Step 3: Cross multiply
    798,056x = 1,167,312 × 1,167,312
  4. Step 4: Simplify right side
    798,056x = 1,362,617,305,344
  5. Step 5: Solve for x
    x = 1,362,617,305,344/798,056
  6. Step 6: Final answer
    x = 1,707,420.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.