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Finding the Third Proportional to 746,506 and 1,133,583

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Solution

The third proportional to 746,506 and 1,133,583 is: 1,721,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,506 : 1,133,583 = 1,133,583 : x
  2. Step 2: Convert to fraction form
    746,506/1,133,583 = 1,133,583/x
  3. Step 3: Cross multiply
    746,506x = 1,133,583 × 1,133,583
  4. Step 4: Simplify right side
    746,506x = 1,285,010,417,889
  5. Step 5: Solve for x
    x = 1,285,010,417,889/746,506
  6. Step 6: Final answer
    x = 1,721,366.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.