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Finding the Third Proportional to 977,064 and 1,554,264

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Solution

The third proportional to 977,064 and 1,554,264 is: 2,472,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,064 : 1,554,264 = 1,554,264 : x
  2. Step 2: Convert to fraction form
    977,064/1,554,264 = 1,554,264/x
  3. Step 3: Cross multiply
    977,064x = 1,554,264 × 1,554,264
  4. Step 4: Simplify right side
    977,064x = 2,415,736,581,696
  5. Step 5: Solve for x
    x = 2,415,736,581,696/977,064
  6. Step 6: Final answer
    x = 2,472,444.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.