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Finding the Third Proportional to 709,182 and 1,076,888.25

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Solution

The third proportional to 709,182 and 1,076,888.25 is: 1,635,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,182 : 1,076,888.25 = 1,076,888.25 : x
  2. Step 2: Convert to fraction form
    709,182/1,076,888.25 = 1,076,888.25/x
  3. Step 3: Cross multiply
    709,182x = 1,076,888.25 × 1,076,888.25
  4. Step 4: Simplify right side
    709,182x = 1,159,688,302,988.06
  5. Step 5: Solve for x
    x = 1,159,688,302,988.06/709,182
  6. Step 6: Final answer
    x = 1,635,247.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.