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Finding the Third Proportional to 970,323 and 1,389,429

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Solution

The third proportional to 970,323 and 1,389,429 is: 1,989,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,323 : 1,389,429 = 1,389,429 : x
  2. Step 2: Convert to fraction form
    970,323/1,389,429 = 1,389,429/x
  3. Step 3: Cross multiply
    970,323x = 1,389,429 × 1,389,429
  4. Step 4: Simplify right side
    970,323x = 1,930,512,946,041
  5. Step 5: Solve for x
    x = 1,930,512,946,041/970,323
  6. Step 6: Final answer
    x = 1,989,557.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.