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Finding the Third Proportional to 692,176 and 1,534,656

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Solution

The third proportional to 692,176 and 1,534,656 is: 3,402,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,176 : 1,534,656 = 1,534,656 : x
  2. Step 2: Convert to fraction form
    692,176/1,534,656 = 1,534,656/x
  3. Step 3: Cross multiply
    692,176x = 1,534,656 × 1,534,656
  4. Step 4: Simplify right side
    692,176x = 2,355,169,038,336
  5. Step 5: Solve for x
    x = 2,355,169,038,336/692,176
  6. Step 6: Final answer
    x = 3,402,558.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.