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Finding the Third Proportional to 977,910 and 1,556,047

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Solution

The third proportional to 977,910 and 1,556,047 is: 2,475,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,910 : 1,556,047 = 1,556,047 : x
  2. Step 2: Convert to fraction form
    977,910/1,556,047 = 1,556,047/x
  3. Step 3: Cross multiply
    977,910x = 1,556,047 × 1,556,047
  4. Step 4: Simplify right side
    977,910x = 2,421,282,266,209
  5. Step 5: Solve for x
    x = 2,421,282,266,209/977,910
  6. Step 6: Final answer
    x = 2,475,976.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.