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Finding the Third Proportional to 873,564 and 1,357,003

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Solution

The third proportional to 873,564 and 1,357,003 is: 2,107,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,564 : 1,357,003 = 1,357,003 : x
  2. Step 2: Convert to fraction form
    873,564/1,357,003 = 1,357,003/x
  3. Step 3: Cross multiply
    873,564x = 1,357,003 × 1,357,003
  4. Step 4: Simplify right side
    873,564x = 1,841,457,142,009
  5. Step 5: Solve for x
    x = 1,841,457,142,009/873,564
  6. Step 6: Final answer
    x = 2,107,981.95

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