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Finding the Third Proportional to 907,207 and 1,415,964

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Solution

The third proportional to 907,207 and 1,415,964 is: 2,210,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,207 : 1,415,964 = 1,415,964 : x
  2. Step 2: Convert to fraction form
    907,207/1,415,964 = 1,415,964/x
  3. Step 3: Cross multiply
    907,207x = 1,415,964 × 1,415,964
  4. Step 4: Simplify right side
    907,207x = 2,004,954,049,296
  5. Step 5: Solve for x
    x = 2,004,954,049,296/907,207
  6. Step 6: Final answer
    x = 2,210,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.