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Finding the Third Proportional to 1,069,780.50 and 1,457,046

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Solution

The third proportional to 1,069,780.50 and 1,457,046 is: 1,984,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,780.50 : 1,457,046 = 1,457,046 : x
  2. Step 2: Convert to fraction form
    1,069,780.50/1,457,046 = 1,457,046/x
  3. Step 3: Cross multiply
    1,069,780.50x = 1,457,046 × 1,457,046
  4. Step 4: Simplify right side
    1,069,780.50x = 2,122,983,046,116
  5. Step 5: Solve for x
    x = 2,122,983,046,116/1,069,780.50
  6. Step 6: Final answer
    x = 1,984,503.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.