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Finding the Third Proportional to 710,745 and 1,016,373

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Solution

The third proportional to 710,745 and 1,016,373 is: 1,453,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,745 : 1,016,373 = 1,016,373 : x
  2. Step 2: Convert to fraction form
    710,745/1,016,373 = 1,016,373/x
  3. Step 3: Cross multiply
    710,745x = 1,016,373 × 1,016,373
  4. Step 4: Simplify right side
    710,745x = 1,033,014,075,129
  5. Step 5: Solve for x
    x = 1,033,014,075,129/710,745
  6. Step 6: Final answer
    x = 1,453,424.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.