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Finding the Third Proportional to 545,712 and 841,896

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Solution

The third proportional to 545,712 and 841,896 is: 1,298,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,712 : 841,896 = 841,896 : x
  2. Step 2: Convert to fraction form
    545,712/841,896 = 841,896/x
  3. Step 3: Cross multiply
    545,712x = 841,896 × 841,896
  4. Step 4: Simplify right side
    545,712x = 708,788,874,816
  5. Step 5: Solve for x
    x = 708,788,874,816/545,712
  6. Step 6: Final answer
    x = 1,298,833.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.