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Finding the Third Proportional to 713,261 and 1,058,106

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Solution

The third proportional to 713,261 and 1,058,106 is: 1,569,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,261 : 1,058,106 = 1,058,106 : x
  2. Step 2: Convert to fraction form
    713,261/1,058,106 = 1,058,106/x
  3. Step 3: Cross multiply
    713,261x = 1,058,106 × 1,058,106
  4. Step 4: Simplify right side
    713,261x = 1,119,588,307,236
  5. Step 5: Solve for x
    x = 1,119,588,307,236/713,261
  6. Step 6: Final answer
    x = 1,569,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.