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Finding the Third Proportional to 647,547 and 980,352

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Solution

The third proportional to 647,547 and 980,352 is: 1,484,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,547 : 980,352 = 980,352 : x
  2. Step 2: Convert to fraction form
    647,547/980,352 = 980,352/x
  3. Step 3: Cross multiply
    647,547x = 980,352 × 980,352
  4. Step 4: Simplify right side
    647,547x = 961,090,043,904
  5. Step 5: Solve for x
    x = 961,090,043,904/647,547
  6. Step 6: Final answer
    x = 1,484,201.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.