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Finding the Third Proportional to 711,747 and 986,944.50

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Solution

The third proportional to 711,747 and 986,944.50 is: 1,368,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,747 : 986,944.50 = 986,944.50 : x
  2. Step 2: Convert to fraction form
    711,747/986,944.50 = 986,944.50/x
  3. Step 3: Cross multiply
    711,747x = 986,944.50 × 986,944.50
  4. Step 4: Simplify right side
    711,747x = 974,059,446,080.25
  5. Step 5: Solve for x
    x = 974,059,446,080.25/711,747
  6. Step 6: Final answer
    x = 1,368,547.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.