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Finding the Third Proportional to 760,714 and 1,184,692

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Solution

The third proportional to 760,714 and 1,184,692 is: 1,844,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,714 : 1,184,692 = 1,184,692 : x
  2. Step 2: Convert to fraction form
    760,714/1,184,692 = 1,184,692/x
  3. Step 3: Cross multiply
    760,714x = 1,184,692 × 1,184,692
  4. Step 4: Simplify right side
    760,714x = 1,403,495,134,864
  5. Step 5: Solve for x
    x = 1,403,495,134,864/760,714
  6. Step 6: Final answer
    x = 1,844,970.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.