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Finding the Third Proportional to 699,699 and 1,461,537

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Solution

The third proportional to 699,699 and 1,461,537 is: 3,052,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,699 : 1,461,537 = 1,461,537 : x
  2. Step 2: Convert to fraction form
    699,699/1,461,537 = 1,461,537/x
  3. Step 3: Cross multiply
    699,699x = 1,461,537 × 1,461,537
  4. Step 4: Simplify right side
    699,699x = 2,136,090,402,369
  5. Step 5: Solve for x
    x = 2,136,090,402,369/699,699
  6. Step 6: Final answer
    x = 3,052,870.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.