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Finding the Third Proportional to 922,726 and 1,241,583

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Solution

The third proportional to 922,726 and 1,241,583 is: 1,670,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,726 : 1,241,583 = 1,241,583 : x
  2. Step 2: Convert to fraction form
    922,726/1,241,583 = 1,241,583/x
  3. Step 3: Cross multiply
    922,726x = 1,241,583 × 1,241,583
  4. Step 4: Simplify right side
    922,726x = 1,541,528,345,889
  5. Step 5: Solve for x
    x = 1,541,528,345,889/922,726
  6. Step 6: Final answer
    x = 1,670,624.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.