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Finding the Third Proportional to 1,909,712 and 4,016,032

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Solution

The third proportional to 1,909,712 and 4,016,032 is: 8,445,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,712 : 4,016,032 = 4,016,032 : x
  2. Step 2: Convert to fraction form
    1,909,712/4,016,032 = 4,016,032/x
  3. Step 3: Cross multiply
    1,909,712x = 4,016,032 × 4,016,032
  4. Step 4: Simplify right side
    1,909,712x = 16,128,513,025,024
  5. Step 5: Solve for x
    x = 16,128,513,025,024/1,909,712
  6. Step 6: Final answer
    x = 8,445,521.12

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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.