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Finding the Third Proportional to 1,312,574 and 2,849,224

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Solution

The third proportional to 1,312,574 and 2,849,224 is: 6,184,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,574 : 2,849,224 = 2,849,224 : x
  2. Step 2: Convert to fraction form
    1,312,574/2,849,224 = 2,849,224/x
  3. Step 3: Cross multiply
    1,312,574x = 2,849,224 × 2,849,224
  4. Step 4: Simplify right side
    1,312,574x = 8,118,077,402,176
  5. Step 5: Solve for x
    x = 8,118,077,402,176/1,312,574
  6. Step 6: Final answer
    x = 6,184,853.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.