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Finding the Third Proportional to 977,985 and 1,496,020.13

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Solution

The third proportional to 977,985 and 1,496,020.13 is: 2,288,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,985 : 1,496,020.13 = 1,496,020.13 : x
  2. Step 2: Convert to fraction form
    977,985/1,496,020.13 = 1,496,020.13/x
  3. Step 3: Cross multiply
    977,985x = 1,496,020.13 × 1,496,020.13
  4. Step 4: Simplify right side
    977,985x = 2,238,076,214,405.02
  5. Step 5: Solve for x
    x = 2,238,076,214,405.02/977,985
  6. Step 6: Final answer
    x = 2,288,456.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.