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Finding the Third Proportional to 710,686 and 1,160,362

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Solution

The third proportional to 710,686 and 1,160,362 is: 1,894,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,686 : 1,160,362 = 1,160,362 : x
  2. Step 2: Convert to fraction form
    710,686/1,160,362 = 1,160,362/x
  3. Step 3: Cross multiply
    710,686x = 1,160,362 × 1,160,362
  4. Step 4: Simplify right side
    710,686x = 1,346,439,971,044
  5. Step 5: Solve for x
    x = 1,346,439,971,044/710,686
  6. Step 6: Final answer
    x = 1,894,563.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.