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Finding the Third Proportional to 578,585 and 1,185,358

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Solution

The third proportional to 578,585 and 1,185,358 is: 2,428,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,585 : 1,185,358 = 1,185,358 : x
  2. Step 2: Convert to fraction form
    578,585/1,185,358 = 1,185,358/x
  3. Step 3: Cross multiply
    578,585x = 1,185,358 × 1,185,358
  4. Step 4: Simplify right side
    578,585x = 1,405,073,588,164
  5. Step 5: Solve for x
    x = 1,405,073,588,164/578,585
  6. Step 6: Final answer
    x = 2,428,465.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.