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Finding the Third Proportional to 553,442 and 846,222

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Solution

The third proportional to 553,442 and 846,222 is: 1,293,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,442 : 846,222 = 846,222 : x
  2. Step 2: Convert to fraction form
    553,442/846,222 = 846,222/x
  3. Step 3: Cross multiply
    553,442x = 846,222 × 846,222
  4. Step 4: Simplify right side
    553,442x = 716,091,673,284
  5. Step 5: Solve for x
    x = 716,091,673,284/553,442
  6. Step 6: Final answer
    x = 1,293,887.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.