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Finding the Third Proportional to 763,712 and 1,653,280

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Solution

The third proportional to 763,712 and 1,653,280 is: 3,579,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,712 : 1,653,280 = 1,653,280 : x
  2. Step 2: Convert to fraction form
    763,712/1,653,280 = 1,653,280/x
  3. Step 3: Cross multiply
    763,712x = 1,653,280 × 1,653,280
  4. Step 4: Simplify right side
    763,712x = 2,733,334,758,400
  5. Step 5: Solve for x
    x = 2,733,334,758,400/763,712
  6. Step 6: Final answer
    x = 3,579,012.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.