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Finding the Third Proportional to 713,463 and 1,044,597

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Solution

The third proportional to 713,463 and 1,044,597 is: 1,529,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,463 : 1,044,597 = 1,044,597 : x
  2. Step 2: Convert to fraction form
    713,463/1,044,597 = 1,044,597/x
  3. Step 3: Cross multiply
    713,463x = 1,044,597 × 1,044,597
  4. Step 4: Simplify right side
    713,463x = 1,091,182,892,409
  5. Step 5: Solve for x
    x = 1,091,182,892,409/713,463
  6. Step 6: Final answer
    x = 1,529,417.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.