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Finding the Third Proportional to 616,276 and 1,292,168

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Solution

The third proportional to 616,276 and 1,292,168 is: 2,709,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,276 : 1,292,168 = 1,292,168 : x
  2. Step 2: Convert to fraction form
    616,276/1,292,168 = 1,292,168/x
  3. Step 3: Cross multiply
    616,276x = 1,292,168 × 1,292,168
  4. Step 4: Simplify right side
    616,276x = 1,669,698,140,224
  5. Step 5: Solve for x
    x = 1,669,698,140,224/616,276
  6. Step 6: Final answer
    x = 2,709,335.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.