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Finding the Third Proportional to 760,724 and 1,184,705

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Solution

The third proportional to 760,724 and 1,184,705 is: 1,844,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,724 : 1,184,705 = 1,184,705 : x
  2. Step 2: Convert to fraction form
    760,724/1,184,705 = 1,184,705/x
  3. Step 3: Cross multiply
    760,724x = 1,184,705 × 1,184,705
  4. Step 4: Simplify right side
    760,724x = 1,403,525,937,025
  5. Step 5: Solve for x
    x = 1,403,525,937,025/760,724
  6. Step 6: Final answer
    x = 1,844,987.06

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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.