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Finding the Third Proportional to 713,906 and 1,105,417

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Solution

The third proportional to 713,906 and 1,105,417 is: 1,711,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,906 : 1,105,417 = 1,105,417 : x
  2. Step 2: Convert to fraction form
    713,906/1,105,417 = 1,105,417/x
  3. Step 3: Cross multiply
    713,906x = 1,105,417 × 1,105,417
  4. Step 4: Simplify right side
    713,906x = 1,221,946,743,889
  5. Step 5: Solve for x
    x = 1,221,946,743,889/713,906
  6. Step 6: Final answer
    x = 1,711,635.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.