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Finding the Third Proportional to 984,300 and 1,407,547.50

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Solution

The third proportional to 984,300 and 1,407,547.50 is: 2,012,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,300 : 1,407,547.50 = 1,407,547.50 : x
  2. Step 2: Convert to fraction form
    984,300/1,407,547.50 = 1,407,547.50/x
  3. Step 3: Cross multiply
    984,300x = 1,407,547.50 × 1,407,547.50
  4. Step 4: Simplify right side
    984,300x = 1,981,189,964,756.25
  5. Step 5: Solve for x
    x = 1,981,189,964,756.25/984,300
  6. Step 6: Final answer
    x = 2,012,790.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.