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Finding the Third Proportional to 711,416 and 1,093,368

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Solution

The third proportional to 711,416 and 1,093,368 is: 1,680,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,416 : 1,093,368 = 1,093,368 : x
  2. Step 2: Convert to fraction form
    711,416/1,093,368 = 1,093,368/x
  3. Step 3: Cross multiply
    711,416x = 1,093,368 × 1,093,368
  4. Step 4: Simplify right side
    711,416x = 1,195,453,583,424
  5. Step 5: Solve for x
    x = 1,195,453,583,424/711,416
  6. Step 6: Final answer
    x = 1,680,386.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.