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Finding the Third Proportional to 1,782,547 and 2,634,508

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Solution

The third proportional to 1,782,547 and 2,634,508 is: 3,893,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,547 : 2,634,508 = 2,634,508 : x
  2. Step 2: Convert to fraction form
    1,782,547/2,634,508 = 2,634,508/x
  3. Step 3: Cross multiply
    1,782,547x = 2,634,508 × 2,634,508
  4. Step 4: Simplify right side
    1,782,547x = 6,940,632,402,064
  5. Step 5: Solve for x
    x = 6,940,632,402,064/1,782,547
  6. Step 6: Final answer
    x = 3,893,660.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.