Finding the Third Proportional to 473,823 and 1,023,516
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Solution
The third proportional to 473,823 and 1,023,516 is: 2,210,920.54
Step by Step Solution
- Step 1: Write the proportion equation
473,823 : 1,023,516 = 1,023,516 : x - Step 2: Convert to fraction form
473,823/1,023,516 = 1,023,516/x - Step 3: Cross multiply
473,823x = 1,023,516 × 1,023,516 - Step 4: Simplify right side
473,823x = 1,047,585,002,256 - Step 5: Solve for x
x = 1,047,585,002,256/473,823 - Step 6: Final answer
x = 2,210,920.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.