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Finding the Third Proportional to 1,709,095.50 and 2,645,521.50

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Solution

The third proportional to 1,709,095.50 and 2,645,521.50 is: 4,095,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,095.50 : 2,645,521.50 = 2,645,521.50 : x
  2. Step 2: Convert to fraction form
    1,709,095.50/2,645,521.50 = 2,645,521.50/x
  3. Step 3: Cross multiply
    1,709,095.50x = 2,645,521.50 × 2,645,521.50
  4. Step 4: Simplify right side
    1,709,095.50x = 6,998,784,006,962.25
  5. Step 5: Solve for x
    x = 6,998,784,006,962.25/1,709,095.50
  6. Step 6: Final answer
    x = 4,095,022.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.