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Finding the Third Proportional to 710,038 and 1,550,178

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Solution

The third proportional to 710,038 and 1,550,178 is: 3,384,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,038 : 1,550,178 = 1,550,178 : x
  2. Step 2: Convert to fraction form
    710,038/1,550,178 = 1,550,178/x
  3. Step 3: Cross multiply
    710,038x = 1,550,178 × 1,550,178
  4. Step 4: Simplify right side
    710,038x = 2,403,051,831,684
  5. Step 5: Solve for x
    x = 2,403,051,831,684/710,038
  6. Step 6: Final answer
    x = 3,384,398.91

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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.