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Finding the Third Proportional to 1,298,304 and 2,803,968

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Solution

The third proportional to 1,298,304 and 2,803,968 is: 6,055,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,304 : 2,803,968 = 2,803,968 : x
  2. Step 2: Convert to fraction form
    1,298,304/2,803,968 = 2,803,968/x
  3. Step 3: Cross multiply
    1,298,304x = 2,803,968 × 2,803,968
  4. Step 4: Simplify right side
    1,298,304x = 7,862,236,545,024
  5. Step 5: Solve for x
    x = 7,862,236,545,024/1,298,304
  6. Step 6: Final answer
    x = 6,055,774.72

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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.