Finding the Third Proportional to 530,946 and 1,155,204
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Solution
The third proportional to 530,946 and 1,155,204 is: 2,513,431.27
Step by Step Solution
- Step 1: Write the proportion equation
530,946 : 1,155,204 = 1,155,204 : x - Step 2: Convert to fraction form
530,946/1,155,204 = 1,155,204/x - Step 3: Cross multiply
530,946x = 1,155,204 × 1,155,204 - Step 4: Simplify right side
530,946x = 1,334,496,281,616 - Step 5: Solve for x
x = 1,334,496,281,616/530,946 - Step 6: Final answer
x = 2,513,431.27
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.