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Finding the Third Proportional to 647,547 and 971,319

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Solution

The third proportional to 647,547 and 971,319 is: 1,456,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,547 : 971,319 = 971,319 : x
  2. Step 2: Convert to fraction form
    647,547/971,319 = 971,319/x
  3. Step 3: Cross multiply
    647,547x = 971,319 × 971,319
  4. Step 4: Simplify right side
    647,547x = 943,460,599,761
  5. Step 5: Solve for x
    x = 943,460,599,761/647,547
  6. Step 6: Final answer
    x = 1,456,976.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.