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Finding the Third Proportional to 598,460 and 1,309,528

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Solution

The third proportional to 598,460 and 1,309,528 is: 2,865,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,460 : 1,309,528 = 1,309,528 : x
  2. Step 2: Convert to fraction form
    598,460/1,309,528 = 1,309,528/x
  3. Step 3: Cross multiply
    598,460x = 1,309,528 × 1,309,528
  4. Step 4: Simplify right side
    598,460x = 1,714,863,582,784
  5. Step 5: Solve for x
    x = 1,714,863,582,784/598,460
  6. Step 6: Final answer
    x = 2,865,460.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.