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Finding the Third Proportional to 1,009,969 and 2,209,964

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Solution

The third proportional to 1,009,969 and 2,209,964 is: 4,835,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,969 : 2,209,964 = 2,209,964 : x
  2. Step 2: Convert to fraction form
    1,009,969/2,209,964 = 2,209,964/x
  3. Step 3: Cross multiply
    1,009,969x = 2,209,964 × 2,209,964
  4. Step 4: Simplify right side
    1,009,969x = 4,883,940,881,296
  5. Step 5: Solve for x
    x = 4,883,940,881,296/1,009,969
  6. Step 6: Final answer
    x = 4,835,733.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.