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Finding the Third Proportional to 670,656 and 1,029,312

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Solution

The third proportional to 670,656 and 1,029,312 is: 1,579,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,656 : 1,029,312 = 1,029,312 : x
  2. Step 2: Convert to fraction form
    670,656/1,029,312 = 1,029,312/x
  3. Step 3: Cross multiply
    670,656x = 1,029,312 × 1,029,312
  4. Step 4: Simplify right side
    670,656x = 1,059,483,193,344
  5. Step 5: Solve for x
    x = 1,059,483,193,344/670,656
  6. Step 6: Final answer
    x = 1,579,771.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.