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Finding the Third Proportional to 427,547 and 907,562

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Solution

The third proportional to 427,547 and 907,562 is: 1,926,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,547 : 907,562 = 907,562 : x
  2. Step 2: Convert to fraction form
    427,547/907,562 = 907,562/x
  3. Step 3: Cross multiply
    427,547x = 907,562 × 907,562
  4. Step 4: Simplify right side
    427,547x = 823,668,783,844
  5. Step 5: Solve for x
    x = 823,668,783,844/427,547
  6. Step 6: Final answer
    x = 1,926,498.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.