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Finding the Third Proportional to 713,457 and 1,044,588

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Solution

The third proportional to 713,457 and 1,044,588 is: 1,529,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,457 : 1,044,588 = 1,044,588 : x
  2. Step 2: Convert to fraction form
    713,457/1,044,588 = 1,044,588/x
  3. Step 3: Cross multiply
    713,457x = 1,044,588 × 1,044,588
  4. Step 4: Simplify right side
    713,457x = 1,091,164,089,744
  5. Step 5: Solve for x
    x = 1,091,164,089,744/713,457
  6. Step 6: Final answer
    x = 1,529,404.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.