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Finding the Third Proportional to 778,948 and 1,698,184

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Solution

The third proportional to 778,948 and 1,698,184 is: 3,702,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,948 : 1,698,184 = 1,698,184 : x
  2. Step 2: Convert to fraction form
    778,948/1,698,184 = 1,698,184/x
  3. Step 3: Cross multiply
    778,948x = 1,698,184 × 1,698,184
  4. Step 4: Simplify right side
    778,948x = 2,883,828,897,856
  5. Step 5: Solve for x
    x = 2,883,828,897,856/778,948
  6. Step 6: Final answer
    x = 3,702,209.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.