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Finding the Third Proportional to 977,004 and 1,550,755

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Solution

The third proportional to 977,004 and 1,550,755 is: 2,461,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,004 : 1,550,755 = 1,550,755 : x
  2. Step 2: Convert to fraction form
    977,004/1,550,755 = 1,550,755/x
  3. Step 3: Cross multiply
    977,004x = 1,550,755 × 1,550,755
  4. Step 4: Simplify right side
    977,004x = 2,404,841,070,025
  5. Step 5: Solve for x
    x = 2,404,841,070,025/977,004
  6. Step 6: Final answer
    x = 2,461,444.45

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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.