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Finding the Third Proportional to 560,306 and 1,295,789

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Solution

The third proportional to 560,306 and 1,295,789 is: 2,996,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,306 : 1,295,789 = 1,295,789 : x
  2. Step 2: Convert to fraction form
    560,306/1,295,789 = 1,295,789/x
  3. Step 3: Cross multiply
    560,306x = 1,295,789 × 1,295,789
  4. Step 4: Simplify right side
    560,306x = 1,679,069,132,521
  5. Step 5: Solve for x
    x = 1,679,069,132,521/560,306
  6. Step 6: Final answer
    x = 2,996,700.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.