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Finding the Third Proportional to 977,072 and 1,554,276

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Solution

The third proportional to 977,072 and 1,554,276 is: 2,472,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,072 : 1,554,276 = 1,554,276 : x
  2. Step 2: Convert to fraction form
    977,072/1,554,276 = 1,554,276/x
  3. Step 3: Cross multiply
    977,072x = 1,554,276 × 1,554,276
  4. Step 4: Simplify right side
    977,072x = 2,415,773,884,176
  5. Step 5: Solve for x
    x = 2,415,773,884,176/977,072
  6. Step 6: Final answer
    x = 2,472,462.50

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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.