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Finding the Third Proportional to 907,209 and 1,493,815.50

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Solution

The third proportional to 907,209 and 1,493,815.50 is: 2,459,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,209 : 1,493,815.50 = 1,493,815.50 : x
  2. Step 2: Convert to fraction form
    907,209/1,493,815.50 = 1,493,815.50/x
  3. Step 3: Cross multiply
    907,209x = 1,493,815.50 × 1,493,815.50
  4. Step 4: Simplify right side
    907,209x = 2,231,484,748,040.25
  5. Step 5: Solve for x
    x = 2,231,484,748,040.25/907,209
  6. Step 6: Final answer
    x = 2,459,725.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.