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Finding the Third Proportional to 644,547 and 1,382,358

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Solution

The third proportional to 644,547 and 1,382,358 is: 2,964,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,547 : 1,382,358 = 1,382,358 : x
  2. Step 2: Convert to fraction form
    644,547/1,382,358 = 1,382,358/x
  3. Step 3: Cross multiply
    644,547x = 1,382,358 × 1,382,358
  4. Step 4: Simplify right side
    644,547x = 1,910,913,640,164
  5. Step 5: Solve for x
    x = 1,910,913,640,164/644,547
  6. Step 6: Final answer
    x = 2,964,739.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.