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Finding the Third Proportional to 1,430,488 and 2,977,358

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Solution

The third proportional to 1,430,488 and 2,977,358 is: 6,196,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,488 : 2,977,358 = 2,977,358 : x
  2. Step 2: Convert to fraction form
    1,430,488/2,977,358 = 2,977,358/x
  3. Step 3: Cross multiply
    1,430,488x = 2,977,358 × 2,977,358
  4. Step 4: Simplify right side
    1,430,488x = 8,864,660,660,164
  5. Step 5: Solve for x
    x = 8,864,660,660,164/1,430,488
  6. Step 6: Final answer
    x = 6,196,948.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.