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Finding the Third Proportional to 654,730 and 1,021,889

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Solution

The third proportional to 654,730 and 1,021,889 is: 1,594,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,730 : 1,021,889 = 1,021,889 : x
  2. Step 2: Convert to fraction form
    654,730/1,021,889 = 1,021,889/x
  3. Step 3: Cross multiply
    654,730x = 1,021,889 × 1,021,889
  4. Step 4: Simplify right side
    654,730x = 1,044,257,128,321
  5. Step 5: Solve for x
    x = 1,044,257,128,321/654,730
  6. Step 6: Final answer
    x = 1,594,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.