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Finding the Third Proportional to 917,409 and 1,417,018.50

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Solution

The third proportional to 917,409 and 1,417,018.50 is: 2,188,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,409 : 1,417,018.50 = 1,417,018.50 : x
  2. Step 2: Convert to fraction form
    917,409/1,417,018.50 = 1,417,018.50/x
  3. Step 3: Cross multiply
    917,409x = 1,417,018.50 × 1,417,018.50
  4. Step 4: Simplify right side
    917,409x = 2,007,941,429,342.25
  5. Step 5: Solve for x
    x = 2,007,941,429,342.25/917,409
  6. Step 6: Final answer
    x = 2,188,709.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.