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Finding the Third Proportional to 607,323 and 1,298,706

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Solution

The third proportional to 607,323 and 1,298,706 is: 2,777,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,323 : 1,298,706 = 1,298,706 : x
  2. Step 2: Convert to fraction form
    607,323/1,298,706 = 1,298,706/x
  3. Step 3: Cross multiply
    607,323x = 1,298,706 × 1,298,706
  4. Step 4: Simplify right side
    607,323x = 1,686,637,274,436
  5. Step 5: Solve for x
    x = 1,686,637,274,436/607,323
  6. Step 6: Final answer
    x = 2,777,166.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.