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Finding the Third Proportional to 846,300 and 1,237,030

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Solution

The third proportional to 846,300 and 1,237,030 is: 1,808,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,300 : 1,237,030 = 1,237,030 : x
  2. Step 2: Convert to fraction form
    846,300/1,237,030 = 1,237,030/x
  3. Step 3: Cross multiply
    846,300x = 1,237,030 × 1,237,030
  4. Step 4: Simplify right side
    846,300x = 1,530,243,220,900
  5. Step 5: Solve for x
    x = 1,530,243,220,900/846,300
  6. Step 6: Final answer
    x = 1,808,156.94

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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.